Division of factorials

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

Timur

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

This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/9443/. Also, please do not modify any references to the original work (if any) contained in this content.

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

URL copied to clipboard
PLANETCALC, Division of factorials