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A pet store has these animals available for adoption: 18 dogs, 12 cats, and 15 hamsters. If you decide to adopt a group of 5

A pet store has these animals available for adoption: 18 dogs, 12 cats, and 15 hamsters.

If you decide to adopt a group of 5 animals, and you must have at least one of each kind, determine the number of distinct groups that you can form.

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