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Three people get onto an elevator in the basement of a building with six floors {1, 2, 3, 4, 5, 6} (not counting the basement).

Three people get onto an elevator in the basement of a building with six floors {1, 2, 3, 4, 5, 6} (not counting the basement). Each person chooses a floor {1, 2, 3, 4, 5, 6}; assume that their choices are independent and that each floor is equally likely. Let N be the number of distinct floors that are selected. Find E(N), Find V (X).

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