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$Old$ 11-15-2008, 11:24 PM

magentarita $magentarita is offline$

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A teacher is making a multiple choice quiz. She wants to give each student the same questions, but have each student's questions appear in a different order. If there are twenty-seven students in the class, what is the least number of questions the quiz must contain?

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$Old$ 11-16-2008, 12:33 PM

HallsofIvy $HallsofIvy is offline$

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There are n! ways of ordering n questions. What is the smallest n so that $n!\ge 27$ ?

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