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Question -

If nC12 = nC5,find the value of n.



Answer -

We know that if nCp = nCq,then one of the following conditions need to be satisfied:

(i) p = q

(ii) n = p + q

So from thequestion nC12 = nC5,we can say that

12 ≠ 5

So, the condition (ii)must be satisfied,

n = 12 + 5

n = 17

 The value of nis 17.

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