Find r if 16 P(15,r)=13 P(16,r)
Answers
Given : 16. P (15 , r) = 13. P ( 16 , r)
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 )!
=> (16 - r) (15 - r)! = 13 * ( 15 - r )!
=> 16 - r = 13
=> r = 3
Hence Value of r is 3
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