prove-that-0-1-

Question Number 166112 by mathls last updated on 13/Feb/22

$${prove}\:{that}\:\mathrm{0}!=\mathrm{1} \\ $$

Commented by mathls last updated on 13/Feb/22

$$? \\ $$

Answered by satyam123 last updated on 13/Feb/22

$${by}\:{defnition}, \\ $$$${n}!={n}.\left({n}−\mathrm{1}\right)! \\ $$$${Put}\:{n}=\mathrm{1} \\ $$$$\mathrm{1}!=\mathrm{1}.\mathrm{0}! \\ $$$$\mathrm{0}!=\mathrm{1} \\ $$

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