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There are 12 dogs, 15 cats, and 9 birds. For each of the following, briefly explain...

  1. There are 12 dogs, 15 cats, and 9 birds. For each of the following, briefly explain the reasoning behind your answer. For instance, if there is a product, explain what each factor is counting; if you’re adding or subtracting, why are you doing so, and what do the terms represent?

    1. (a) How many ways are there to arrange all the animals so that the line begins with a dog and ends with a cat?

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