# 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.

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