Solve the following

Question:

If nC12 = nC5, find the value of n.

Solution:

We have,

nC12 = nC5

$\Rightarrow n=12+5=17 \quad\left[\because{ }^{n} C_{x}={ }^{n} C_{y} \Rightarrow x=y\right.$ or, $\left.n=x+y\right]$

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