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




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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