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

1 Answer
LM
Jun 28, 2018

see below

Explanation:

#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#.

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