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Yotta Paper 1 · Q18

Paper 1Algebra

4545 people are standing in a line. How many ways are there to choose 1717 of them such that no two chosen people are next to each other, and order doesn't matter?

A45!28!17!\frac{45!}{28!17!}
B43!26!17!\frac{43!}{26!17!}
C28!17!11!\frac{28!}{17!11!}
D29!17!12!\frac{29!}{17!12!}
E17!12!8!\frac{17!12!}{8!}
F21745!12!\frac{2^{17}45!}{12!}

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