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Question Number 130685 by EDWIN88 last updated on 28/Jan/21

$$Howmanypasswordcontaining$$$$6charactersofthelettersinthe$$$$word{}^{″}MoveNow{}^{″}?$$

Answered by liberty last updated on 28/Jan/21

$$\mathrm{case}\left(1\right)\underset{-}{\mathrm{O}}\underset{-}{}\underset{-}{}\underset{-}{}\underset{--}{}=6!$$$$\mathrm{case}\left(2\right)\underset{-}{\mathrm{O}}\underset{-}{\mathrm{O}}\underset{-}{}\underset{-}{}\underset{-}{}\underset{-}{}={\mathrm{C}}_4^5\times \frac{6!}{2!}=5\times \frac{6!}{2}$$$$\mathrm{totally}\mathrm{many}\mathrm{password}\mathrm{is}6!+\frac{5}{2}\times 6!$$$$=6!\left(\frac{7}{2}\right)=2520$$

Answered by JDamian last updated on 28/Jan/21

$$Permutationswithrepetition$$$$$$$$\frac{7!}{2!}=\frac{7!}{2}$$

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