Convert the following products into factorials: 5.6.7.8.9.10 - Vidyadip

Question

Convert the following products into factorials:
5.6.7.8.9.10

✓

Answer

We have,

$5 \times 6 \times 7 \times 8 \times 9 \times 10$

$=\frac{10\times9\times8\times7\times6\times5\times(4\times3\times2\times1)}{4\times3\times2\times1}$

$=\frac{10!}{4!}$

Hence, $5\times6\times7\times8\times9\times10=\frac{10!}{4!}$

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