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A Doughnut Shop Sells 30 Kinds of Doughnuts

Question 128

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A doughnut shop sells 30 kinds of doughnuts. In how many ways can you (a) get a bag of 12 doughnuts? (b) get a bag of 12 doughnuts if you want at least 3 glazed doughnuts and at least 4 raspberry doughnuts? (c) get a bag of 12 doughnuts if you want exactly 3 glazed doughnuts and exactly 4 raspberry doughnuts?

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