Question: Solve the following using a generating functions : Elizabeth is hosting a party inviting 7 friends. She bought gifts as the following: 8 teddy bears,

Solve the following using a generating functions:

Elizabeth is hosting a party inviting 7 friends. She bought gifts as the following: 8 teddy bears, 8 books, 5 watches. If she wants to give 16 gifts in total, where each person gets two gifts, with at least 2 teddy bears and 1 book. How many possible ways are there to choose from what she bought? Note: Don't distinguish between who gets what, just consider the 16 gifts.

Please don't use anything other than generating functions for this question, i am aware you can find it with normal combination, but that's not what the question is asking for.

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