SOLUTION: Pine Lane Middle School's student council has 10 boys and 8 girls serving as representatives. A subcommittee containing 3 boys and 3 girls is formed to organize a student dance. Ho

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Question 980948: Pine Lane Middle School's student council has 10 boys and 8 girls serving as representatives. A subcommittee containing 3 boys and 3 girls is formed to organize a student dance. How many different subcommittees can be formed?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Using the combination formula, we get

10 C 3 = 120 ways to pick three boys

8 C 3 = 56 ways to pick three girls

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There are 120*56 = 6,720 ways to form the subcommittee.