If C(n, 12) = C(n, 8), then C(22, n) is equal to

231

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210

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252

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303

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Solution

The correct option is A
231

$^{n} C_{12} =^{n} C_{8} \Rightarrow n = 12 + 8 = 20 [∵^{n} C_{x} =^{n} C_{y} \Rightarrow n = x + y o r x = y]$
Now, $^{22} C_{n} =^{22} C_{20}$
$\Rightarrow \frac{22}{2} \times \frac{22}{1} \Rightarrow 231$

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