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!.