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There are \(n\) students in a class. Of them, \(k\) boys and \(k\) girls (including Harvey and Jessica) are selected for

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There are \(n\) students in a class. Of them, \(k\) boys and \(k\) girls (including Harvey and Jessica) are selected for

by AAPL » Wed Oct 11, 2023 8:44 am

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There are \(n\) students in a class. Of them, \(k\) boys and \(k\) girls (including Harvey and Jessica) are selected for a dance performance in which students will dance in pairs of one boy and one girl. What is the probability that Harvey will be paired with Jessica?

1. Other than Harvey, \(5\) boys are selected for the dance

2. \(8\) of the \(k\) boys are not selected for the dance

OA A
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Source: — Data Sufficiency |
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