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suppose there are 22 animals, 7 of which are cats, 5 of which are dogs, and the rest of them are birds. If the cats

suppose there are 22 animals, 7 of which are cats, 5 of which are dogs, and the rest of them are birds. If the cats are indistinguishable from one another and similar for the dogs and the birds, how many different rearrangements of all 22 animals are possible

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