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Assuming that any given student must be either a boy or a girl (that is, no student can be neither a boy nor a girl), then 17 is sufficient. With sixteen students, you could have 8 boys and 8 girls, so there wouldn't be nine of either; adding the seventeenth student will push one or the other group to nine.

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Q: How many students must be in a room to be sure that at least nine are boys or at least nine are girls?
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