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Question Number 166112 by mathls last updated on 13/Feb/22
prove that 0!=1
$${prove}\:{that}\:\mathrm{0}!=\mathrm{1} \\ $$
Commented by mathls last updated on 13/Feb/22
?
$$? \\ $$
Answered by satyam123 last updated on 13/Feb/22
by defnition,  n!=n.(nāˆ’1)!  Put n=1  1!=1.0!  0!=1
$${by}\:{defnition}, \\ $$$${n}!={n}.\left({n}āˆ’\mathrm{1}\right)! \\ $$$${Put}\:{n}=\mathrm{1} \\ $$$$\mathrm{1}!=\mathrm{1}.\mathrm{0}! \\ $$$$\mathrm{0}!=\mathrm{1} \\ $$

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