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200 identical toys are to be sent to 5 families (A, B, C, D, E). If...

200 identical toys are to be sent to 5 families (A, B, C, D, E). If each family must get at least 3 toys and the family “A” cannot have more than 30 toys, how many different ways are there to distribute the toys? (Hints: Do not use the multinomial theorem and start with subtracting 3 from the number of candies from each of the family.)

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