How do you simplify #(21!)/(14!)#?

1 Answer
MeneerNask
Oct 13, 2016

By cancelling common factors.

Explanation:

By definition:
#21! =21xx20xx19xx....xx15xx14xx13...xx2xx1#
#14! =14xx13xx12xx....xx2xx1#

So we can cancel all factors from #14# downward.
Which leaves:

#=21xx20xx19xx18xx17xx16xx15#

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