Binomial Theorem And Its Simple Applications Question 70

Question: If $ \frac{(n+2)!}{6(n-1)!} $ divisible by n, $ n\in N $ and $ 1\le n\le 9, $ Then n is

Options:

A) 4

B) 2

C) 6

D) 1

Show Answer

Answer:

Correct Answer: D

Solution:

  • [d] If $ n=1 $ , then $ \frac{(n+2)!}{6(n-1)!}=\frac{3!}{6\times 0!}=\frac{6}{6}=1, $ divisible by 1.