2010007004

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2010007004
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From a group of \(6\) boys and \(8\) girls we have to select a small group of \(2\) boys and \(4\) girls. How many possibilities exist for this choice?
\(\frac{6!} {4!\, 2!}\cdot \frac{8!} {4!\, 4!}=1\:050\)
\(\frac{6!} {4!}\cdot \frac{8!} {4!}=50\:400\)
\(2\cdot 4=8\)
\(6\cdot 8=48\)