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Question Number 146425 by mathdanisur last updated on 13/Jul/21

4 people took the elevator to the first  floor of the 6 - storey building. Find  the probability that they fall on  different floors.

$$\mathrm{4}\:{people}\:{took}\:{the}\:{elevator}\:{to}\:{the}\:{first} \\ $$$${floor}\:{of}\:{the}\:\mathrm{6}\:-\:{storey}\:{building}.\:{Find} \\ $$$${the}\:{probability}\:{that}\:{they}\:{fall}\:{on} \\ $$$${different}\:{floors}. \\ $$

Commented by ajfour last updated on 13/Jul/21

elavator-which company?

$${elavator}-{which}\:{company}? \\ $$

Commented by mathdanisur last updated on 13/Jul/21

Elavator-Carrying people to high-rise  buildings

$${Elavator}-{Carrying}\:{people}\:{to}\:{high}-{rise} \\ $$$${buildings} \\ $$

Answered by ajfour last updated on 13/Jul/21

((^6 C_4 ×4!)/6^4 )

$$\frac{\:^{\mathrm{6}} {C}_{\mathrm{4}} ×\mathrm{4}!}{\mathrm{6}^{\mathrm{4}} } \\ $$

Commented by mr W last updated on 13/Jul/21

6 or only 5 destinations?

$$\mathrm{6}\:{or}\:{only}\:\mathrm{5}\:{destinations}? \\ $$

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