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Please Solve R.D. Sharma class 12 Chapter 30 Probability  Exercise Multiple Choice Questions Question 16 Maths Textbook Solution.

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Answer: (a)

Hint: You must know the rules of finding probability.

Given: 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.

Solution: Total possible ways of leaving the lift = 7 \times 7 \times 7 \times 7 \times 7=(7)^{5}

5 people can leave different floors in { }^{7} P_{5} ways

P(5 people leaving lift at different floors) = \frac{{ }^{7} P_{5}}{(7)^{5}}

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