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If ${ }^n C_{12}={ }^n C_8$, then $n$ is equal to
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Verified Answer
The correct answer is:
20
20
Since, ${ }^n C_{12}={ }^n C_8$
$$
\begin{array}{ll}
\Rightarrow{ }^n C_{12}={ }^n C_{n-8} & {\left[\because{ }^n C_r={ }^n C_{n-r}\right]} \\
\Rightarrow n-8=12 & \\
\Rightarrow n=12+8=20
\end{array}
$$
$$
\begin{array}{ll}
\Rightarrow{ }^n C_{12}={ }^n C_{n-8} & {\left[\because{ }^n C_r={ }^n C_{n-r}\right]} \\
\Rightarrow n-8=12 & \\
\Rightarrow n=12+8=20
\end{array}
$$
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