Question 39

Mathematics Binomial Theorem Hard

If \(\frac{n!}{2!(n-2)!}\) and \(\frac{n!}{4!(n-4)!}\) are in the ratio 2:1, then the value of n is

(A) 0
(B) 2
(C) 4
(D) 5
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

The numbers are \({^n}C_2\) and \({^n}C_4\), clearly \(n \geq 4\). From the options, \(n = 5\) gives the correct ratio.