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

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A

5

11%

B

4

19%

C

3

60%

D

2

9%

Solution:

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