Find the value of ^ 15 C _4 - Vidyadip

Question

Find the value of

${ }^{15} C _4$

✓

Answer

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

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