Use generating functions to determine the number of different ways 32 identical stuffed animals can be given to five children so that each child receives at least two but no more than 10 stuffed animals. Hint: Recall that if x is a real number with |x| < 1 and n a positive integer we have n+k- (1 − x)¯" = Σ(" - Σ (₁+1-¹) ² = k k=0

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