Question Number 191680 by pete last updated on 28/Apr/23
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{of}\:\mathrm{67}!\:\mathrm{when}\:\mathrm{divided} \\ $$$$\mathrm{by}\:\mathrm{7}! \\ $$
Answered by JDamian last updated on 28/Apr/23
$${zero} \\ $$$$ \\ $$$${n}!\:\mathrm{mod}\:{m}!\:=\:\mathrm{0}\:\:\:\:\forall\left({m},{n}\right)\:\:{m}\leqslant{n}\:\:{m}\in\mathbb{N}\:\:\:{n}\in\mathbb{N} \\ $$
Commented by pete last updated on 29/Apr/23
$$\mathrm{thankyou}\:\mathrm{sir} \\ $$