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Mathematics, 06.06.2020 18:00 micahpauleen748

Using generating functions, find a formula for the number of different types of fruit baskets containing of n pieces of fruit chosen from pomegranates, bananas, apples, oranges, pears, and figs that can be made subject to the following restrictions:there are either 0 or 2 pomegranates, there is at least 1 banana,
the number of figs is a multiple of 5,
there are at most 4 pears, and
there are no restrictions on the number of apples or oranges.
How many ways are there to form such a fruit basket with n=25 pieces of fruit?

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