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Integers \(x\) and \(y\) are both positive, and \(x > y.\) How many different committees of \(y\) people can be chosen

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by AAPL » Mon Jun 30, 2025 8:48 am

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Integers \(x\) and \(y\) are both positive, and \(x > y.\) How many different committees of \(y\) people can be chosen from a group of \(x\) people?

1) The number of different committees of \(x-y\) people that can be chosen from a group of \(x\) people is \(3,060\)

2) The number of different ways to arrange \(x-y\) people in a line is \(24\)

OA A
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Source: — Data Sufficiency |