How do I solve this for n without making a guess? n!(5-n)!=4! Is it possible to simply drop all the ! signs?

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- Dec 22nd 2012, 04:41 AMStuck ManFactorials equation
How do I solve this for n without making a guess? n!(5-n)!=4! Is it possible to simply drop all the ! signs?

- Dec 22nd 2012, 04:51 AMSorobanRe: Factorials equation
Hello, Stuck Man!

Quote:

How do I solve this for n without making a guess? .$\displaystyle n!(5-n)!\:=\:4!$

Is it possible to simply drop all the ! signs? . No

There are only six possible choices: 0, 1, 2, 3, 4, 5.

We find the solutions are: .$\displaystyle n \,=\,1,\,4$