If 18Cx = 18Cx + 2, find x.
We know that if , then one of the following conditions need to be satisfied:
i. p = q
ii. n = p + q
From the problem we can say that,
⇒ x≠x + 2
So, the condition(ii) must be satisfied,
⇒ 18 = x + x + 2
⇒ 2x = 16
⇒
⇒ x = 8.
∴ The value of x is 8.