# Division of factorials

This online calculator solves factorial division problems when you have factorials in the numerator and denominator.

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#### Timur

Created: 2021-08-22 06:40:15, Last updated: 2021-08-22 06:48:19

The calculator below can be used to check the solution of problems when factorials are found in both the numerator and the denominator of the fraction, that is, factorial division problems. Solving such problems is quite simple - you choose a larger factorial and start factoring it :) until you can cancel the same factorials in both the numerator and denominator. Then you multiply the remaining factors, there are usually few of them.
$\frac {10!}{7!}=\frac{10 \cdot 9 \cdot 8 \cdot 7!}{7!}=\frac{10 \cdot 9 \cdot 8 \cdot \not7!}{\not7!}=10 \cdot 9 \cdot 8 = 720$

#### Division of factorials

Solution

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