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(10 points) / cards are labeled with the numbers {1,2, ..., N}. After shuffling, the cards are placed from left to right at positions that

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(10 points) / cards are labeled with the numbers {1,2, ..., N}. After shuffling, the cards are placed from left to right at positions that are also labeled from 1 to N. A card is said to be placed correctly if its number is less than or equal to the number of its position. Let the random variable X denote the number of cards that are placed correctly. Compute E(X")

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