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Five persons entered the lift cabin on the ground floor of an 8 floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of al 5 persons leaving at different floor is a. `(\ ^7P_5)/(7^5)` b. `(7^5)/(\ ^7P_5)` c. `6/(\ ^6P_5)` d. `(\ ^5P_5)/(5^5)`

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Five persons entered the lift cabin on the ground floor of an 8 -floor house.Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first.Find out the probability of all five persons leaving at different floors.

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