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At a birthday party, a mother prepares a plate of cookies for 8 children. there are plenty of chocolate chip, peanut butter, and oatmeal cookies, but each child gets only 1 cookie.

a. how many different plates can be prepared?

b. how many different plates can be prepared if at least 1 of each kind of cookie is given out?

c. how many different plates can be prepared if no one likes oatmeal cookies?

d. how many different plates can be prepared if 2 children insist on getting peanut butter?

e. how many different plates can be prepared if the dog got into the kitchen and ate all the chocolate chip cookies except 2?

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