Math, asked by subhalaxmimallick199, 10 hours ago

ample 13 : Find r if 16 P (15, r) = 13 P (16,7) long answer

Answers

Answered by amitnrw
0

Given :  16. P (15 , r)  = 13. P ( 16 , r)

(correction is Question)

To Find : r

Solution:

P ( n , r)  = n !/(n - r)!

16. P (15 , r)  = 13. P ( 16 , r)

=> 16,  15!/ (15 - r)!  = 13. 16! / (16 - r)!

16. 15 ! = 16 !

=> 16! / (15 - r )!  = 13. 16! /  (16 - r )!

=> (16 - r )!  = 13 * ( 15 - r )!

This is only possible

=> 13!  = 13 * 12!

=> 16 - r = 13   and 15 - r = 12

=> r = 3

Hence Value of r is 3

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