The formula is called factorial in mathematics. To get these numbers one has to multiply by next number to the current factorial. In the context of merukhand there is only one combination with one note. If we take 2 then multiply by 2 to previous number of combinations, here 1. So the number of combination with 2 notes is 2. If we take 3 notes then multiply by 3 to the previous number of ways,2, we get 6. So there are 6 ways we can arrange 3 notes. For 4 notes it will be 4 X 6 = 24 ways possible. For 5 notes the number of combinations will be 5 X 24 = 120. For 6 notes it will be 6 X 120 = 720 and for seven 5040. Reason for this formula is as follows. Suppose we want to find combinations of 5 notes. We can choose the first one in 5 ways. Having chosen the first note to be sung we have 4 note left (no repititon) so 4 ways to chose the second note to be sung. For the third note to be sung we are left with 3 notes so here are 3 choices. For fourth note to be sung we are left with only 2 notes of 2 ways and for the fifth note to be sung we have only 1 choice left. The resulting number of combinations is product of number of choices we have for each successive notes . So it is 5x4x3x2x1=120. If we stick to combinations of 4 notes only then we have 24 combination starting with SA and taking up to next 3 notes (upto ma). But we can construct these begining with every note in saptak (assuming sampurn sampurn jati). So we get 24 X 7 = 168. While highlighting the importance of merukhand UST Amir Khan, in an interview in London (Niranjan Sarkar KZfaq upload), has mentioned that although merukhand leads to a large number of combinations only 168 of them are more useful. He didn't explain the number 168 but I think merukhand of four notes starting with each of seven note of octave gives us this number.

Pranaam Gurudev... 🙏 Aisa lagta hai, is Sankat ki ghadi me mere jaise Sangeet ke garib ko Aapne 21 din ka rashan Pani de diya hai.... Thanks 🙏

Finally... someone who is practical and talks sense. You are teaching us to walk before running. Thank you so much. Love and respect Sir!

आपका समझाने का तरीका बहुत बहुत अच्छा गुरु जी वेरी गुड गुरु जी

Sir aaj hi mei aapki channel pe aaya hu... Or lag raha hai ki 4 se 6 mahine ka riyaaz mujhe mil gaya hai... Thank you sir!!!🙏🙏

Ashwin ji, It was great to know about Merukhand. I was not aware of it. It was written in 13th Century by Sarang Dev. The same calculation was later done in 18th century and came to be known as Factorial. The formula is denoted as !n = nx(n-1)x(n-2)…….x1 (e.g !5 = 5x4x3x2x1). It is very unfortunate that something originated by our ancestors is lesser know to us than the work done by westerners. The talk is fantastic. I do follow your videos. Learning since last two years.

Thank You so much sir for inspiring us with useful tricks and techniques. We are very fortunate. Pranam guruji, 🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽

Namaste Sir, I m a vocalist, and its really helps me in practising Thanks for such a beautiful demonstration

Thanks sir ji, mai iskaa abhyaas jaroor karonga, mai 3 seal kaa diploma bhee kiyaa hai lekin isprakar baha nahi samghaya gaya. Koochh puchne par mana kar diyaa jataa thaa. Kabhee kisi ne tecknik nahi bataaya lekin aap logo ke in videoes se bahoot faayada hota hai. Samagh bhee badati hai. Thanks again...

Wonderful advice and explanation. Thank you very much for sharing the video. We are very fortunate to have you as our Mentor. God bless you!!

Jitne bhi notes hain unka factorial (!) nikalne se no. of possible combinations calculate ho jata hai.. 1 swar - 1 ! => 1*1 =1 combination possible 2 swaras - 2 ! => 2*1 = 2 combinations possible 3 swaras - 3 ! => 3*2*1 = 6 combinations possible 4 swaras - 4! => 4*3*2*1 = 24 combinations possible 5 swaras - 5 ! => 5*4*3*2*1 =120 combinations possible 6 swaras - 6 ! => 6*5*4*3*2*1 = 720 combinations possible and so on.. In an interview, Ustad Amir Khan, who adopted this technique in a much prominent way, said that this sort of practise being used up to 4 notes is more than enough and taking more notes is not that much required because the no of combinations become too much for practical use. Ashwin Ji you are doing a great job here. Keep it continuing. Thanks. :)

Ashwin sir...Aapke videos dekh dekh kar apna mind khol raha hoon ...Main bata nahi sakta ki aapki baatein kitni samajh aati hain mujh jaise intermediate bansuri player ko jo 25 saal se baja raha hai par apni playing mein ras nahi la saka due to absense of technique practice. Tahe dil se aapka dhanyawad sir... Respect to you. Please aise hi apne videos se hum sabhi sangeet lovers ko nawazte rahiye.

Thanks a lot Ashwin🙏🏼 I had heard and practiced a bit of similar palate but was not aware at Merukhand alankar. Great to know at this, appreciate your efforts and knowledge sharing. &Well said at the social distancing and lockdown.👍🏼 Stay safe and have a great time. Thank you once again.

Merukhand Alankaar steps nicely explained. Thanks Ashwin ji...

Aswinji.... You are really an inspiration.. God bless you always.

Aur itni acchi tarah samjhate Hain aapka bahut bahut dhanyvad

Thank you Ashwin Ji for this inspiring and educational video! 🙏🌹😊🎉

Excellent 100 percent number 1 sir ji

आपकी जय हो गुरुजी🙏💞

Sir aapke videos bahut jyada motivational hote hai ..bahut bahut dhanywad sir.

U r a true artist, sir.

Pranam Gurudev, Sir kindly make a video about meand, jhamjhama & khatka. Sir, I am happy to having you ...

Lovely ! Merukhand alankar ka behad khoobsurat upyog its gaane me kiya gaya hai ... parde ke peeche se kya tumne keh daala

Very nice information regarding merukhand alankar, God bless you sir 🙏

Zabardast... ye bada kaam ka samzaya sir aapne.. mai to lagbhag bhul hi gaya tha .. ess ka rizaar karna.. aapne workshop me bataya tha. Par.. shyad bahoot si cheezoo mai ye slip of d mind ho gaya.. Abb khatarnaak... practice karta ess ki. Full time hai apne pass.😄😄 Mandal aabhari aahe..aaplee..😍😍 N hope u n ur family r safe ..god bless u.. Tc..

Nice video ashwinji...thanks

गुरुजी बहुत अच्छे से समझ में आ गया है

आप ने मेरी प्रार्थना सुनी और बहुत सुन्दर विश्लेषण दिया

It's really a great and helpful video. 💐💐💐💐

Love you sir.you are amazing soul.

Sir bhut sunder video hai apka. Thnku

Very useful lesson. Thanks for sharing

Thank you sir bahut hi kam log aisi video daalte Hain

Dhanyavaad Guruji

Very well information about merukhand alankar...thank u

Hi sir maine aaj aapka merukhand alankar vdeo dekha sir muze bahut pasand aaya sir main aajse shuru karta hu sir thank you sir

Pranam 🙏🙏

Always great Sir...................

It is permutation n combination in maths. Thank u sir.

good morning. सूप्रभात ,नमस्कार ,धन्यवाद.

Well explained sir just wow

Nicely define sir thanks a lot.

Easy calculation to know number of combinations. For Three Notes 3! = 3x2x1 =6 Combinations For Four Notes 4! = 4x3x2x1 = 24 Combinations Hence proved that "हम गिनती कर लेंगे, बज नहीं पाएगा " 😄

Great massage sir

Bohat majedar

Pranam Maharaj

The opening part of the song 'Sa re ga ma' from the movie 'Chupke Chupke' sung by Kishore Kumar is one of the perfect examples of Merukhand Alankar.

Very nice sir ...I like merukhand

Thankyou for sharing the same sir

Hlw sir you have shard very important information for every music student... 🙏🙏🙏 Thnqu very much Regards Çhetan prajapati

बहुत बहुत धन्यवाद

Kya baat h sr ji

2 swar possible combinations 2×1=2 3 swar possible combinations 3×2×1=6 4 swar possible combinations 4x3x2x1=24 ................Continue for more swar Bahut achha video Sir.

Thanks sir you are best teacher

21 days we cann't go out. Plz bless us with your knowledge. Regards

Nice video sir 👍 keep teaching

🙏🙏🙏🙏

🙏🏻

Thank you...🙏

अप्रतिम

Great sir Usefule lesson....

👍

Keep uploading sir😊

Muje Tho ye merukhand Alankar seekneme 5 saal lagega. Well explained sir

Thank you so much ... ! It's really Helpfull ... !

Sir aap bht achha gate bhi ho🙂

Thank you sir..🙏🙏

प्रणाम सर🙏🙏

Thank you sir...

I can play gayaki taans prakar in komal swaras raags like bhairavi bairagi malkauns....but if i try to play same thing on shuddha swaras raag like...bhoop , sarang....its face difficulty in playing...... Because in komal swar raag ...we have support of half swar to move fingers.....but how can i play in shudhha notes with clearity & consistency

Thanks

Really helpful, how do i apply this to vocal music?

Dhanyavada sir bahut achha tha lesson

Thaku... sir...

Sir thank u for ur valuable advice and tutorial.plz make a detail video on gamak and meend

Love you sir ❤

Thanku so much

Love you sir

After a long time....

👌👏⚘

Namaskar sir💐,🙏

Ek question hai sir...Main right handed hoon par basuri mein right hand uppar rakhta hoon...E flute bajate hue left hand ring finger main dard ho jaata hai. Kya koi upaye hai iska?

Sir please upload videos on advance techniques and ornaments

Bhaiya staysafe

Thank u...sir....😘😘

♥️♥️😍👍

Probabilities are limitless Sa - Re - Ga - Ma = 24 Sa - Re - Ga - Ma - Pa = 120 Sa - Re - Ga - Ma - Pa - Dha = 720 Sa - Re - Ga - Ma - Pa - Dha - Ni = 5040 combinations. Any concept to memorize this ?

U r my true goru

If possible Merukhand.pdf should be best for practice. Thanks for your the best tutorial Sir, 👍💐🙏

Have you made any video on what is thaath.. types of thaat and concept of it?

Tankeww bhaiya.... 😘

Nice

Sar mere ko aapki yah video bahut acchi lagi main Rajasthan se

Tnku sir . I am shaji from kochin we met at plkd

🙏😊sir ye to bilkul computer ki bit rate . binory digits ki tarha kam Karna padega . .🤗. Sir tq Very very much for this video's .n sir ur the inspection for us tq sir

I have difficulty while blowing... Earlier I chew tobacco products... I feel that niche ka jaw stiffness... Gale se phoonk. Nahi ho pati.. Although I practice half n hour daily. Can u guide me... Through this. N how to have control over blowing. Thanks a lot

To I learnt how to make alankaar. Thank u sir. How could I learn to play alap? Can u give video in detail?

I am Ratheesh.... workshope... attent palakkad..

Pranam sir .please guide me how to train ear. For notes

Namste sir