Question Number 195732 by bbbbbbbb last updated on 09/Aug/23
$$\frac{\mathrm{500}!+\mathrm{499}!}{\mathrm{0}.\mathrm{002}}=? \\ $$$$\boldsymbol{\mathrm{plz}}\:\boldsymbol{\mathrm{soon}}\: \\ $$
Answered by HeferH last updated on 09/Aug/23
$$\frac{\mathrm{500}\centerdot\mathrm{499}!\:+\:\mathrm{499}!}{\frac{\mathrm{2}}{\mathrm{1000}}}\:=\:\frac{\mathrm{499}!\centerdot\mathrm{501}\centerdot\mathrm{1000}}{\mathrm{2}} \\ $$$$=\:\frac{\mathrm{499}!\:\centerdot\mathrm{501}\centerdot\mathrm{500}}{\mathrm{1}}\:=\:\mathrm{501}!\: \\ $$