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A elevator starts with m passengers and stops at n floors (m≤n) . The probability that no two passengers leaves at same floor A. .nPm mn B. .nPm nm C. .nCm mn D. .nCm nm Select the correct answer from above options

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Correct Answer - B Since a person can alight at any one of n floors. Therefore, the number of ways in which m pasengers can alight at n floors is n × n × n . . X x n = n m n . The number of ways in which all passengers can alight at different floors is . n C m × m ≠ . n P m . Hence, required probability = . n P m n m =

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