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At Sam's Kookie shop there is an unlimited number of chocolate chip, sugar, oatmeal, and snickerdoodle cookies. How many ways can Angelina choose six cookies?

1 Answer

5 votes

Answer:

84

Explanation:

This is a combination problem with repetition. Since there is an unlimited number of each type of cookie, we can choose 6 cookies from a pool of 4 types of cookies.

The formula for choosing r items from n types with repetition is:

(n + r - 1)C(r)

Where C is the combination function.

Using this formula, we can calculate the number of ways to choose 6 cookies:

(4 + 6 - 1)C(6) = 9C6 = 84

Therefore, there are 84 ways for Angelina to choose 6 cookies from Sam's Kookie shop, if she can choose any combination of chocolate chip, sugar, oatmeal, and snickerdoodle cookies with unlimited supply.

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