5 persons entered a lift cabin on the gr...

5 persons entered a lift cabin on the ground floor of a 7 floor house. Suppose, that each of them independently and with equal probability can leave the cabin at any floor beginning with the first. The probability of all the 5 persons leaving the cabin at different floors, is

`(360)/(2401)`

`(5)/(54)`

`(5)/(18)`

`(5!)/(7!)`

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Four persons entered the lift cabin on the ground floor of a 5-floor house (Assume ground floor as also one floor). Assume that each of them independently and with equal probability can leave the cabin at any floor beginning from the first. Find the probability for all the four persons to leave the cabin at different floors :

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