Discrete Mathematics: A menagerie consists of seven brown dogs, two black dogs, six gray cats, ten black cats, five blue birds, six yellow birds, and one black bird. Determine which of the following statements are true and which are false: 1. Every animal in the menagerie is brown or gray or black. 2. There is an animal in the menagerie that is neither a cat nor a dog. 3. No animal in the menagerie is blue. 4. There are in the menagerie a dog, a cat, and a bird that all have the same color.

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