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JEE MATHEMATICS MCQ: PERMUTATIONS

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In a country, 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 shape and size of tooth is disregarded and only the position of tooth is considered, then maximum population of that country can be

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Correct option: B

2^{32}-1

Option B (

2^{32}-1

) is correct because each tooth can be either present or absent, leading to

2^{32}

possibilities, but we exclude the case where no tooth is present.

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