Sunday, 5 May 2019

Fruit (Official Video) | The Landers | Western Pendu | New Song 2018 | S...





नारङ्ग रम्भा जम्बूद्राक्षेक्षुखर्जूर रसैः समन्वितैः।
एकादिभिः स्युः कति मेदिनीपतेः पानानि जिह्वाजडतानुदे वद ॥
Translation: With the juice of orange,banana, mango,rose apple,sugar cane
and kharjura, tell how many types of beverages can be prepared for the taste of the King,taking one of them at a time.


Now this stanza above might sound like recipe for a smoothie but its not!
Its actually ancient Indian Combinatorics.
The answer to the above stanza is:

C(7,1) =7

C(7,2) =7x6/ 1x2 =21

C(7,4) =C(7,3) =35

C(7,5)=C(7,2) =21

C(7,3)=7x6x5/1x2x3=25C(7,6)=C(7,1)=7

             C(7,7)=C(7,0)=1
Total number of varieties= (7+21+35+35+21+7+1) =127

Taken from the book "Development of combinatorics from the pratyayas in Sanskrit prosody" by Er. Venugopal D.Heroor.

     

No comments:

Post a Comment

Note: only a member of this blog may post a comment.

  Kindly take note that all classes have been put on hold due to the recent spike of Covid 19 cases and classes would only resume if and whe...