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The Grammar club has 20 members: 10 boys and 10 girls. A 4-person committee is chosen at random. What is the probability that the committee has at least 1 boy and at least 2 girls?

 Sep 10, 2021
 #1
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The four-person subcommitte could have:

 

2 boys and 2 girls:  10C2 x 10C2

 

1 boy and 3 girls:  10C1 x 10C3

 

Find each of the two products and add them togehter.

 Sep 10, 2021

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