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Twelve cakes are entered in a cake contest. Judges select the best tasting, the best decorated, and the most unusual cakes. How many ways can

Twelve cakes are entered in a cake contest. Judges select the best tasting, the best decorated, and the most unusual cakes. How many ways can the cakes be selected (a) if the three cakes must be different? (b) if a cake can be selected for more than one award?

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