# Five persons entered the lift cabin on the ground floor of an 8 floored 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 all 5 persons leaving at different floor isA. B. C. D.

As building has 8 floors including ground.

So, they have 7 options to leave the lift.

total ways in which persons can leave the lift = 75

As the number of ways in which all persons leave in a different floor can be given by: 7× 6× 5× 4× 3 = 7P5

P(that all leave lift in different floor) =

Our answer matches with option (a)

Option (a) is the only correct choice

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