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persons entered a lift cabin on the ground floor of a 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 persons leaving the cabin at different floors, is
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The correct answer is:
The number of floors of the building except ground floor is .
The number of ways that the five persons can leave floors is .
The total number of cases is .
The number of ways that the five persons can leave in different floors is .
Probability
Probability .
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