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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