Advanced Combinations: At Least, Minimums and Maximums

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Advanced Combinations: At Least, Minimums and Maximums

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4 жыл бұрын

One of my most complex videos yet, covering advanced combinations with the phrase 'at least', or any condition attached, for example minimums and maximums. Combinatorics with a max or min does get a little advanced, but the challenging nature will not put us off!
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: www.gretutorlo...
Enquiries: philip@gretutorlondon.com
The GRE and GMAT are two of most used graduate exams for those seeking to study a Masters Degree or Masters in Business Administration (MBA) degree. The Graduate Record Exam and Graduate Management Admissions Test have been taken for over 50 years and are taken by approximately 600,000 and 300,000 people worldwide annually, respectively. These exams are typically taken between the ages of 18-40, by those who have completed, or are about to complete, their Bachelors Degree.
Enquiries: philip@gretutorlondon.com
Grateful for any support: / testedtutor If you’re now ready to get into your dream MBA program, my former student, Angel, is offering virtual private Admissions coaching. She was admitted into Harvard Business School, The Wharton School of Business, and Columbia Business School (accepted into every school she interviewed for) after graduating from UCLA with a degree in Communication. She also got 3 perfect scores on the GRE’s Analytical Writing Assessment (99th percentile).
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Пікірлер: 136

@mahmoudkhater3449 3 жыл бұрын

thank you man, you deserve more views. i took the exam and got 327( 170q, 157v) your channel was very helpful especially in the quant parts. thank you for these great videos, it made my life easier

@TheTestedTutor 3 жыл бұрын

Well done Mahmoud! Añd thank you.

@zukiwilsons9527 3 жыл бұрын

Hey! May I ask how long and how you prepared? I'm taking it in June and need help!

@nick_ragin 3 жыл бұрын

@@zukiwilsons9527u need full month for verbal, if u r from engineering n mathematics background u will need less than 15 days for quant and then most important revision of all the notes u have taken 8-10 days, total less than 2 months

@abhishekgupta-99 2 жыл бұрын

@@nick_ragin Hi Nikhil, can u suggest the plan for verbal prep? I am from engg background.

@nick_ragin 2 жыл бұрын

@@abhishekgupta-99 from my experience you should know at least 800 word if not more than 1500. Focus more on sentence completion and short/medium passages first, and don't do large passages. You should do those in parallel. That is if you are doing words and in between you can try one or more passages or text completions. You might find doing questions before doing all the words uncomfortable. But you won't regret it.

@halimajalalova805 4 жыл бұрын

I feel like, even after my GRE journey is over, I will keep watching the videos you make! Amazing explanations! Thank you very much for time you spend and energy you put on preparing these videos!

@TheTestedTutor 4 жыл бұрын

That's a lovely thing to say, thank you Halima

@Dms100 4 жыл бұрын

I agree! Thank you!

@ihuomaokoro-ebi3837 3 жыл бұрын

Same here... so much knowledge

@MindOverMatrix111 2 жыл бұрын

same here. 😁

@cardiyansane1414 2 жыл бұрын

The warning at the beginning felt like a movie rating.... R for Ridiculously complex! was almost... deterred from trying . I have just started to enjoy combinations and I can say this one is very well explained.

@SWASTIKB306 4 жыл бұрын

Great way to give a real sense of how to get a higher score

@doyinsola.e6898 4 жыл бұрын

Thank you Phillip ,I NEVER thought I would be so comfortable solving combination questions( I have also watched your previous videos on the topic)I am still super ecstatic that I was able to correctly solve the 'Boss level' question on my own, please don't stop making these videos ,you are changing lives and GOD BLESS YOU.

@TheTestedTutor 4 жыл бұрын

Wonderful! Well done Doyinsola!

@nishatahmed7484 3 жыл бұрын

you are the only one person who's videos I like before even watching them...! btw THANKS for the effort .. u make GRE less difficult..! :) :)

@TheTestedTutor 3 жыл бұрын

Wow, thanks Nishat!

@ianmutch788 9 ай бұрын

You're the man Phillip. I took AP Stat in college and I learned more in 27 minutes here than I did in an entire semester. Even after I'm done with the GMAT, I'll probably still check in here!

@liliiamaslarova1840 11 ай бұрын

Honestly, this is the best explanation I have seen on this topic

@Mushicus 4 жыл бұрын

Phillip! Thank you for your videos! I was able to improve my quant score by 7 points going from a 160Q the first time I took the GRE to a 167Q the second time! My verbal dropped from a 165 to a 160, but I'm in engineering so the quant is what matters.

@TheTestedTutor 4 жыл бұрын

Fantastic! Well done Mushicus

@roshini7369 11 ай бұрын

Very easy to understand.. Thank you so much

@victoremmanuel3632 2 жыл бұрын

Mr Phillip this is really helpful, much love from Nigeria.

@nehanoor3880 3 жыл бұрын

SO grateful for your channel. Combinations and probability stump me like nothing else. I could do the boss level question using the reasoning tools you taught. You're doing amazing work. Thank you so much.

@TheTestedTutor 3 жыл бұрын

Thanks so much Neha

@SISANHLABATHI 10 күн бұрын

Thank you so much Philipp. Admittedly, this is no pap and vleis.

@vidad3820 3 жыл бұрын

A ridiculous help. Thank-you.

@jorgeluisfernandezramirez9154 3 жыл бұрын

Hello Philip, your videos are really helpful and your content has a lot of worth. I would recommend you to check the arrangements and combinations chapter in the "The Princeton Review Math Workout for the GRE", 4th ed. In this book, there is an explanation of how to calculate permutations and combinations without explicitly using the formula. It is great for people that like to tackle math using logic. Also, I think that if you create a Patreons page many of us would be willing to fund your content. Thank you very much.

@TheTestedTutor 3 жыл бұрын

Hey Jorge, great comment. I have a patreon in my descriptions! No one has signed up yet.

@alieskandari633 2 жыл бұрын

Very instructive. Thanks Philip

@anvitpatil3260 2 жыл бұрын

Your explanation is so on point! and every time i manage to solve your boss level questions, it boosts my confidence by leap and bounds. Thanks a bunch for your videos!

@yatriinusa642 4 жыл бұрын

I am taking my GRE on 28th Sept. Your videos are my skill developing pillars. Thanks much Philip. Keep teaching us your ways & methods.

@dhamotharann3806 4 жыл бұрын

Hey dude I gonna take it on Oct 7 if you find time could u plz guide me trugh your struggle's

@munasharma9530 2 жыл бұрын

The combination topic was a horror story for me. You made it crystal clear. Thank you very much.

@thelife1919 3 жыл бұрын

Just one word for your explanation... "Amazing". I was searching for this only ... thanks a ton... plz keep doing such great work...

@TheTestedTutor 3 жыл бұрын

Most welcome 😊

@fauzanhakim1424 4 жыл бұрын

Just when I thought of starting my prep for the day! You came with the most intriguing quant topic ever!! Thank you for this! ❤

@julied2480 3 жыл бұрын

Wow, I finally get it now. After so many hours, this one video finally made it click for me. Thank you so much!!

@TheTestedTutor 3 жыл бұрын

Glad it helped Julie!

@muskratbest9138 3 жыл бұрын

Just took my GRE test today and watched nearly all of your quant videos in preparation. Brought my score up to above 165!! Thank you so much and keep up the great work and great tips. Your videos are great and your tips definitely saved me!!

@TheTestedTutor 3 жыл бұрын

Excellent! Well done Muskrat Best

@mikiallen7733 3 жыл бұрын

HI muskrat well done , congrats , however up to 165 on quant section but would you kindly myself share with us you brought it from which level as I will find useful to me ? thanks

@sakshiaher3078 4 жыл бұрын

Pls make a video on how to study in a month strategically! It would be of great help ❤️

@r.williams8349 3 жыл бұрын

Learned something! Thank you. Struggled with these and now feel a lot more confident.

@TheTestedTutor 3 жыл бұрын

Perfect!

@sumaiyaakterbanna8071 Жыл бұрын

Congratulations on your 65k subscriptions and you really deserve more and more subscriber ❤❤❤❤

@johnehlen6963 4 жыл бұрын

Just wanted to take a minute to thank you. I only had 1 month to study for the GRE this summer and thanks to you and your videos I got even better than the score I was hoping for! thank you for these and helping me kill it!

@TheTestedTutor 4 жыл бұрын

Thanks so much John and well done!

@anikajabin35 4 жыл бұрын

Thank you Philip! I now believe I would be able to do a lot better in my exam.

@damilaregideonojo3602 2 жыл бұрын

Your channel is so helpful. Your tips are easy to follow with. Thanks for making quant a lot easier.

@Pad2Paper 2 ай бұрын

Boss Level is so much easier if you look at it from its complement; e.g., possible combinations when selecting 0 Fantasy films and 3 other films (5 films) + 1 Fantasy and 2 other films (5 films). The following gets simplified to: 5 C 3 + (3 C 1) x (5 C 2) = 40.

@beastnawa 2 жыл бұрын

The best tutor ever

@itzdumb 3 жыл бұрын

Commenting for the algorithm! But also to thank you for helping me out for the GRE. You're a lifesaver!

@TheTestedTutor 3 жыл бұрын

Happy to help julie!

@anup_patel 3 жыл бұрын

Great Video. I was struggling with advanced combination problems. It helped me in consolidating my knowledge. Really appreciate it.

@TheTestedTutor 3 жыл бұрын

You're very welcome Anup!

@nikitachaudhari9167 3 жыл бұрын

Thank You Philip !!!!! All the tips you have been sharing with us are incredible. I found Probability tough but you made it very easy. Thanks alot :)

@TheTestedTutor 3 жыл бұрын

Fantastic!

@ihuomaokoro-ebi3837 3 жыл бұрын

I’m so glad I finally got a hang of it

@joelarrington7547 3 жыл бұрын

I will attest that the Advanced Combinations do appear on the GRE. I took the test this morning and had a question very similar to what was presented here.

@TheTestedTutor 3 жыл бұрын

Thanks so much Joel!

@shivamshukla9486 3 жыл бұрын

Thank you so much man! This was the only topic that I used to find very difficult to answer. It's all clear now. Thanks a ton :)

@TheTestedTutor 3 жыл бұрын

Thanks Shivam!

@ozlemyurttas8990 2 жыл бұрын

Amazing explanations! Thank you!

@xiction 3 жыл бұрын

Wow I missed a similar boss level question on a practice test and I was so hard on myself for missing it - but I didn’t understand the explanation so this is so helpful!

@SMB8282 3 жыл бұрын

so crazy... I didnt know how to do the first two but after your explanations I knew how to do the boss level

@TheTestedTutor 3 жыл бұрын

Nice!!

@riteshreddyseri9540 4 жыл бұрын

Thank you for all the videos.

@salpivartivarian1615 Жыл бұрын

Hi. Thanks for the video. It's exceedingly helpful. Please, if you ever make another video on Combinations/Permutations, would you please tackle this question?: "How many different-appearing arrangements can be created using all the letters AAABBC?" I don't even understand the explanation that is given in the book from which this is derived.

@akamjotsinghbrar325 3 жыл бұрын

You are great. My score was only due to your videos ..You are doing a nice job Thanks

@TheTestedTutor 3 жыл бұрын

Thank you but you deserve the credit Akam!

@mohammedsajidurrahman1033 3 жыл бұрын

How can u be so precise dear .brother. Amazing video . Thanks a lot again.

@TheTestedTutor 3 жыл бұрын

Thank you so much 😀

@VrindaArora22 7 ай бұрын

Hi Philip, thanks so much for your videos! Did you ever end up making the combinations mixed with probability video? Please link it, if possible :)

@rampage14x13 2 жыл бұрын

I solved the boss level one in a slightly different way, but its something that I used in my probability theory class once in a while. 8C3 - [Choosing 2 Fantasy + Choosing 3 Fantasy] = what we want 8C3 - [ (3C2 * 2C1 + 3C2 * 3C1) + 3C3 ] = what we want for the choosing 2 fantasy we can think about it like this, we chose 2 fantasy books from the 3, but we must also now pick a book from the other two types. So, we have to either choose 1 from Action type OR (think SUM) from the Drama type therefore, if we pick one from the Action type we have 3C2 * 2C1 and if we pick one from the Drama type we have 3C2 * 3C1 and since its an OR, we add these together to give us Choosing 2 Fantasy = (3C2 * 2C1 + 3C2 * 3C1) Now, for choosing 3 fantasy, we simply Choose 3 from the 3, meaning that we dont have to pick from any other type of book so we get this from earlier 8C3 - [ (3C2 * 2C1 + 3C2 * 3C1) + 3C3 ] = what we want and then you just plug in values and solve. You end up with 56 - [ (6 + 9 ) + 1] = 56 - [15 + 1 ] = 56 - 16 = 40 Its the same concept still, but this might help someone else if they think about it in the same way I did for choosing 2 or 3 fantasy .

@bluelionpuza206 3 жыл бұрын

Yes, learned last question

@junetown2882 10 ай бұрын

I'm going to thank you repeatedly. Also 3 days to go for my test date. Any tips or guidance Philip?

@realaadekunjogcfr 5 ай бұрын

How was it?

@NS-ki8lb 3 жыл бұрын

You've been such a help. Bless you.

@TheTestedTutor 3 жыл бұрын

Thanks N.S.

@sreejasree7427 Жыл бұрын

Thanks you sir From India ❤

@shpendimaskuli1932 2 жыл бұрын

thank you for making me understand this better

@sudarshanthakur1907 4 жыл бұрын

Hey philip! Can you pls make a video on advance probability? It would be great bud!

@joeboxter3635 Жыл бұрын

The advantage of doing all ways and take away the unwanted ways to get what you want is now for probability, you already have the all ways for denominator of probability.

@abidfaisal1503 Жыл бұрын

Thank you.

@krittikadeshwal631 Жыл бұрын

Hi Philip, for the question in the end, I used the direct method - added the combinations for (either 0 fantasy) OR (1 fantasy) but I got a result of 39, and I've gone over the calculations repeatedly to see if I've made a mistake 😥

@Ash-wd9yc 2 жыл бұрын

Can't thank you enough!!!

@faizahmad7002 Жыл бұрын

Thank you

@zangayacoubakone4463 2 жыл бұрын

Great stuff! Thanks !

@iremharmancik5321 3 жыл бұрын

Great video!!!!

@TheTestedTutor 3 жыл бұрын

Glad you enjoyed it Irem

@SWAPNILWANKHEDE4500 3 жыл бұрын

Very good explanation..I have a question....I have a problem in combination while selecting minimum 1 and maximum 4 men to form a group of 20 ... maximum and minimum conditions are there then what to do ...calculate minimum ways seperately and then maximum ways seperately and adding them in the end ????

@Fbwarrior Ай бұрын

impressive

@anushaashivshankerdas5799 Жыл бұрын

Hi Philip, can you make a video on strategy for multiple selection questions in quant? especially those that employ minimums and maximums.

@gloriaquarshie67 Жыл бұрын

Hi Philip. I really like your simple but detailed explanation s. I have a question about 'no more than' meaning at least. I thought 'no more than' means not more than the number given. Could you please help me out with an explanation. Thank you.

@TheTestedTutor Жыл бұрын

It does mean that yes! So no more than 3 apples would be 0, 1, 2 or 3 apples.

@gloriaquarshie67 Жыл бұрын

Thank you, Phillip

@smkj9405 3 жыл бұрын

thanks

@babatundeibukun6333 2 жыл бұрын

I learnt too much value. I feel so confident tackling these kind of questions now.

@sadiayeasmin3346 Жыл бұрын

Kindly make trick video on mixture and allegations.

@vivianna168 Жыл бұрын

Hello @The Tested Tutor (Phillip), why can we not use: 1) 3 choose 1 (choose 1 woman to keep fixed from 3 women) * 6 choose 2 (2 remaining women and 4 remaining men to choose from)? I was thinking all we have to do is keep one spot for 1 woman. 2) 3 (3 possible choices for women)*6 (2 remaning women and 4 men)* 5 (5 remaining people, gender doesn't matter)? While I understand the answer you gave, why are these two not correct? Thanks Anna

@sameersanjeevi8857 4 жыл бұрын

Great job Philip, you're helping all of us by putting in so much of your energy, time , effort and your doing all that for free. My Question is, I am somehow familiar with all the GRE quant concepts, my only problem is speed. I take a lot of time to read, understand & solve the problems, i have lamost exhausted all the question from all test prep material, but i am still slow. Is there any way to increase the speed ?

@TheTestedTutor 3 жыл бұрын

Only practice can boost speed....

@gerardtyson2274 Жыл бұрын

Useful shortcuts for combinations and permutations. r = 0 always results in 1 7 C 0 = 1 7 P 0 = 1 r = 1 always results in n 7 C 1 = 7 7 P 1 = 7 n = r results in 1 for C, but n! for P 7 C 7 = 1 7 P 7 = 7! = 5040 r = n-1 results in n for C, but n! for P 7 C 6 = 7 7 P 6 = 7! = 5040 r = 2; *n C r* = n(n-1)/2 and *n P r* = n(n-1) 7 C 2 = 7(6)/2 = 21 7 P 2 = 7(6) = 42

@dhamotharann3806 4 жыл бұрын

Hey Philip I have a favour to ask could plz take us to interquartile problems..tats one ma nightmares...❤️

@awaisahmad22 21 күн бұрын

oscar level teacher

@aparnamane1164 20 күн бұрын

22:31 why didnt we consider zero fantasy film along with 2 and 3 in not getting what we want scenario

@albrestevez 9 ай бұрын

PLEASE HELP! In how many different ways can 3 fiction books and 3 non-fiction books be arranged in a row of 6 books on a shelf such that the fiction books are not separated, and the non-fiction books are not separated? Could you please make a video of this .

@megank707 2 жыл бұрын

this was awsm video 👍🏻👍🏻

@chetanchaudhari7082 2 жыл бұрын

Hello Philip, As you have explained Total number of selecttions possible - Not getting we want = Getting what we want is absolutely correct But as in the first example you have taken 7C3 - 4C3 where 4 is number of men because we need number of women. But my question is about second example where you have considered 9C4 - 5C1 where as it should be 9C4 - 4C2 because we don't need number of Non fiction? Am I wrong and missing something please guide.

@parttimedude5440 Жыл бұрын

Sir, You are GOD !

@anasputhawala6390 3 жыл бұрын

I have a question: At 14:02 You listed the formula as Total # Selections - NOT getting what we want = what we want Then you went on to list 9C5 - Choosing 0 sci-fi - Choosing 1 sci-fi. My question here is how do you know what order the two things you don't want are going to be in? (In this example it's the Choosing 0 sci-fi and choosing 1 sci-fi). This question came up to me because I actually had put it as Choosing 1 sci-fi - Choosing 0 sci-fi. Of course in this question the Choosing 0 sci-fi was neglected because it's impossible, but in the event that it isn't neglected, the order in what gets subtracted matters because it isn't the absolute value of the numbers either... So how do you exactly know what to do in that sense? What order does it go in? Nonetheless, thanks again for a very informational video!

@TheTestedTutor 3 жыл бұрын

The order doesn't matter as you are subtracting both of them. Like 3 - 2 - 1 is the same as 3 - 1 - 2. But good question!

@harinathc7168 3 жыл бұрын

Tn q......soo much ....for this💓💓

@TheTestedTutor 3 жыл бұрын

Welcome 😊

@weom7374 2 жыл бұрын

In the last question, isn't selecting no fantasy film at all one of the failures??

@RahulSharma-oc2qd 3 жыл бұрын

For second question, won't it be 9c5-4c2? It should come as 120 ways... (126-6=120)

@AR-kq7kw 3 жыл бұрын

Hey Philip, I have a doubt, in the question of fantasy film at 23:12 , one has to choose at max one fantasy film? does that mean, choosing 0 fantasy film, choosing all drama/ action is not a failure? Also, I didn't get how you did 'choose 1 other and 2 fantasy at 23:17? pls reply!

@parneetkaur4444 3 жыл бұрын

I was able to get all correct without solutions yayay

@ishansingh8759 4 жыл бұрын

Hello,philip I have doubt please help me. I have given almost 13 or 14 mock test which were all non-adaptive. And I am left with only one powerprep test given by ETS. Should I go for more tests thise are adaptive ones?? Please reply!!!!

@TheTestedTutor 4 жыл бұрын

They are adaptive yes

@bodybuildingtheory5337 3 жыл бұрын

Atleast 1 means 1 or more right ? But in last question as mention no more than you are considering as a new atleast but we are solving for atmost Can you explain this?

@kristytrahan269 2 жыл бұрын

Do you ever use the slot method instead?

@jermsbestfriend9296 2 жыл бұрын

I don't see why you're saying it's and in the second problem. You could say "picking 4 sci-fi or 3 sci-fi" or "you can pick 4 sci-fi and also 3 sci-fi to fail".

@tabassumtamima5309 2 жыл бұрын

why not you have choosen 5c2???

@jodyanderson3256 3 жыл бұрын

How can you choose 5 non when there are only 4?

@jodyanderson3256 3 жыл бұрын

I am an idiot that is how!

@plaguemusic9104 11 ай бұрын

isnt "no more than" means "at most"?

@sherzaidi 3 жыл бұрын

Please solve this: You've 5 mangoes and 3 boxes. Each box can have max 2 mangoes. What's the probability of having at least 1 mango per each box? Here we can't have zero mango probability.

@TheTestedTutor 3 жыл бұрын

Probability 100% as you can't fit 5 mangoes in 2 boxes if their capacity is 2 each.

@sherzaidi 3 жыл бұрын

@@TheTestedTutor thanks for the response. it's 3 boxes and 1 or 100% wasn't the option. It's official GRE question a friend had to face.

@abdusoliergashev7286 3 жыл бұрын

@@sherzaidi How it is solved? What is the answer?