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7) Use exponential generating function to find the number of ways to distribute 10 different toys. to 4 different children if a) The first

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7) Use exponential generating function to find the number of ways to distribute 10 different toys. to 4 different children if a) The first child receives at least one toy; b) The second child receives at least two toys; c) The first child receives at least one toy and the second child receives at least two toys.

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