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Permutations and Combinations (p-2) — Maths (commerce) STD 11 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 11 Commerce / ArtsMaths (commerce)Permutations and Combinations (p-2)1 Mark
Question
Compute:$\frac{8 !}{6 !-4 !}$
✓

Answer

$
\begin{aligned}
\frac{8 !}{6 !-4 !} & =\frac{8 \times 7 \times 6 \times 5 \times 4 !}{6 \times 5 \times 4 !-4 !} \\
& =\frac{8 \times 7 \times 6 \times 5 \times 4 !}{4 !(6 \times 5-1)}=\frac{1680}{29}
\end{aligned}
$

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