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Question Number 196205 by Mastermind last updated on 19/Aug/23

$${\mathrm{What}}^{\prime }\mathrm{s}\mathrm{the}\mathrm{value}\mathrm{for}!7?$$

Answered by deleteduser1 last updated on 19/Aug/23

$$!7=7!(1-\frac{1}{1!}+\frac{1}{2!}-\frac{1}{3!}+\frac{1}{4!}-\frac{1}{5!}+\frac{1}{6!}-\frac{1}{7!})=1854$$

Commented by deleteduser1 last updated on 19/Aug/23

$$Generally,!n=n!\underset{k=0}{\sum ^n}\frac{{(-1)}^k}{k!}$$

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