Q. If $^{10} C_{x} =^{10} C_{x + 4}$ , then the value of $x$ is

1471 232 Permutations and Combinations Report Error

A

5

7%

B

4

13%

C

3

73%

D

2

8%

Solution:

We have $^{10} C_{x} =^{10} C_{x + 4}$
$\Rightarrow x + x + 4 = 10$
$\Rightarrow 2 x = 6$
$\Rightarrow x = 3$