If ⁿC₁₂ = ⁿC₅, find the value of n.

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,

⇒ 12≠5

So, the condition(ii) must be satisfied,

⇒ n = 12 + 5

⇒ n = 17.

∴ The value of n is 17.