If nC4 = nC6, find 12Cn.
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,
⇒ 4≠6
So, the condition(ii) must be satisfied,
⇒ n = 4 + 6
⇒ n = 10.
We need to find the value of ![]()
We know that
..... (1)
And also n! = n(n – 1)(n – 2)…………2.1
From (1)
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
∴ The value of
is 66.