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If 10 objects are distributed at random among 10 persons, then find the probability that at least one of them will not get anything.

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If 10 objects are distributed at random among 10 persons, then find the probability that at least one of them will not get anything. A. 1010-10 1010 B. 1010-10! 1010 C. 1010-1 1010 D. none of these Select the correct answer from above options

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Correct Answer - B Since each object can be given to any one of ten persons. So, ten objects can be distributed among 10 persons in 1010 ways. Thus, the total number of elementary events =1010 The number of ways of distribution in which each one gets only one thing is 10 !. So, the number of ways of distribution in which at least one of them does not get any thing is 1010-10! . Hence, requried probability = 1010-10! 1010

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