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?

Please explain in detail how to do this.

Thank you!