SOLUTION: There are 11 boys and 7 girls in a class. How many groups of 5 students can be made with exactly 3 girls in them? I got 1,925 and wanted to know if that was correct

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Question 586599: There are 11 boys and 7 girls in a class. How many groups of 5 students can be made with exactly 3 girls in them?
I got 1,925 and wanted to know if that was correct

Answer by solver91311(24713) About Me  (Show Source):
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Exactly. 7 ways to pick the 1st girl times 6 ways to pick the 2nd girl times 5 ways to pick the 3rd girl times 11 ways to pick the 1st boy times 10 ways to pick the 2nd boy divided by (6 ways to arrange 3 girls times 2 ways to arrange 2 boys) = 1925

More formally:



John

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