If n and r are non-negative integers and n≥r, then p(n + 1, r) equals to (A) P(n,r)(n+1) / (n+1-r) (B) P(n,r)(n+1) / (n-1+r) (C) p(n,r)(n-1) / (n+1-r) (D) p(n,r)(n+1) / (n+1+r)

2 Answers

Answer :

(A) P(n,r)(n+1) / (n+1-r) 

Answer :

(A) P(n,r)(n+1) / (n+1-r) 

Explanation:

p(n, r) = n!/(n-r)!

p( n+1, r) = (n+1)!/(n+1-r)!

= (n+1) n! /(n+1-r) (n-r)!

= P(n, r)(n+1)/(n+1-r)

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