Find the value of: ^ 15 C_4 - Vidyadip

Question

Find the value of: ${ }^{15} \mathrm{C}_4$

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Answer

$
\begin{aligned}
{ }^{15} \mathrm{C}_4 & =\frac{15 !}{4 !(15-4) !}=\frac{15 !}{4 ! 11 !} \\
& =\frac{15 \times 14 \times 13 \times 12 \times 11 !}{4 \times 3 \times 2 \times 1 \times 11 !} \\
& =\frac{15 \times 14 \times 13 \times 12}{4 \times 3 \times 2 \times 1} \\
& =1365
\end{aligned}
$

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