Let fk be a sequence corresponding to the number of ways to select a subset of k items from a set S. Select the generating function for fk for each description of S. You can assume that pieces of fruit of the same variety are identical.1. Give a generating function for five bananas that can be selected individually, and an infinite supply of apples bundled in packages of six.2. Give a generating function for 17 oranges that can be selected individually, and an infinite supply of kiwi that can be selected individually.3. Give a generating function for an infinite supply of apples, bundled in packages of three.