Write in terms of factorials : 6 7 8 9 - Vidyadip

Question

Write in terms of factorials $: 6 \times 7 \times 8 \times 9$

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Answer

$6 \times 7 \times 8 \times 9 = 9 \times 8 \times 7 \times 6$ Multiplying and dividing by $5!,$ we get
$=\frac{9 \times 8 \times 7 \times 6 \times 5 !}{5 !}$
$=\frac{9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{5 !}$
$=\frac{9 !}{5 !}$

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