How do you write $12 times 11 times 10 times 9 times 8 times 7 times 6$ using factorials?

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Answer 1 · 2018-06-28T20:35:49

see below

$12!$ is $12 * 11 * 10... * 2 * 1$

$5!$ is $5 * 4 * 3 * 2 * 1$

$12! / 5! = (12 * 11 * 10 * ... * 1)/(5 * 4 * 3 * 2 * 1)$

simplifying the fraction (by cancelling out $5 * 4 * 3 * 2 * 1$ ) gives

$(12 * 11 * 10 * 9 * 8 * 7 * 6) / 1$ or $12 * 11 * 10 * 9 * 8 * 7 * 6$ .

How do you write 12 times 11 times 10 times 9 times 8 times 7 times 612 times 11 times 10 times 9 times 8 times 7 times 6 using factorials?