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In a city no two persons have identical set of teeth and there is no person without a tooth. Also no person has more than 32 teeth. If we disregard the shape and size of tooth and consider only the positioning of the teeth, the maximum population of the city is (A) `2^(32)` (B) `(32)^2-1` (C) `2^(32)-1` (D) `2^(32-1)`

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