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Pascal Triangle

If nC5 = nC10...

Question

If $^{n} C_{5} =^{n} C_{10}$ , then the value of $^{16} C_{n}$ is

A

1

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B

15

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C

16

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D

15!

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Solution

The correct option is C $16$
Given, $^{n} C_{5} =^{n} C_{10}$
We know that,
$\Rightarrow n = 5 + 10 \Rightarrow n = 15 \Rightarrow^{16} C_{15} = 16$

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