Solve the following

Question:

If nC12 = nC8 , then n =

(a) 20

(b) 12

(c) 6

(d) 30

Solution:

(a) 20

$n=12+8=20 \quad\left[\because{ }^{n} C_{x}={ }^{n} C_{y} \Rightarrow n=x+y\right.$ or $\left.x=y\right]$

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