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Question Number 124149 by I want to learn more last updated on 01/Dec/20

$$\mathrm{Two}\mathrm{men}\mathrm{and}\mathrm{four}\mathrm{women}\mathrm{line}\mathrm{up}\mathrm{at}\mathrm{a}\mathrm{checkout}\mathrm{counter}\mathrm{in}\mathrm{a}\mathrm{store}.$$$$\left(\mathrm{a}\right)\mathrm{In}\mathrm{how}\mathrm{many}\mathrm{ways}\mathrm{can}\mathrm{they}\mathrm{line}\mathrm{up}???$$$$\left(\mathrm{b}\right)\mathrm{In}\mathrm{how}\mathrm{many}\mathrm{ways}\mathrm{can}\mathrm{they}\mathrm{line}\mathrm{up}\mathrm{if}\mathrm{the}\mathrm{first}\mathrm{person}\mathrm{line}\mathrm{is}$$$$\mathrm{a}\mathrm{woman}\mathrm{and}\mathrm{the}\mathrm{line}\mathrm{changes}\mathrm{by}\mathrm{gender}.(\mathrm{w},\mathrm{m},\mathrm{w},\mathrm{w},\mathrm{m},\mathrm{w})??$$

Commented by I want to learn more last updated on 01/Dec/20

$$\left(\mathrm{a}\right)7!$$

Commented by I want to learn more last updated on 01/Dec/20

$$\mathrm{The}\mathrm{b}\mathrm{part}\mathrm{is}\mathrm{my}\mathrm{concern}.$$

Commented by mr W last updated on 01/Dec/20

$$trytosolvebyyourselfsir,{it}^{\prime }snotso$$$$hard.$$

Commented by I want to learn more last updated on 01/Dec/20

$$\mathrm{But}\mathrm{the}\left(\mathrm{b}\right),\mathrm{i}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{understand}.$$

Answered by mr W last updated on 01/Dec/20

$$\left(a\right)$$$$6!=720$$$$\left(b\right)$$$$WMWWMW$$$$2!4!=48$$

Commented by I want to learn more last updated on 01/Dec/20

$$\mathrm{Thanks}\mathrm{sir}.\mathrm{I}\mathrm{appreciate}.$$

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