Binomial Theorem And Its Simple Applications Question 134

Question: $ \frac{(n+2)!}{(n-1)!} $ is divisible by

Options:

A) 4

B) 4

C) 6

D) 7

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ \frac{(n+2)!}{(n-1)!}=\frac{(n+2)(n+1).n(n-1)!}{(n-1)!}=(n+2)(n+1).n $ That is product of 3 consecutive integers is divisible by 3!.