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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)`

A

`(.^(7)P_(5))/7^5`

B

`P^(5)/(.^(7)P_(5))`

C

`6/(.^(6)P_(5))`

D

`(.^(5)P_(5))/5^(5)`

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A
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