A bakery sells 10 types of pies: apple, cherry, blueberry, strawberry, peach, key lime, pumpkin, sweet potato, pecan, and chocolate. Assume that it has an unlimited supply of each type. How many different ways are there to choose 6 pies from these 10 types if... a. .there are no restrictions? b. .all the pies chosen are of the same type? c. .all the pies chosen are of different types? .at least 2 apple pies and 1 cherry pie are chosen? d. .at most 3 key lime pies are chosen? Hint: Use counting by complement. е.

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