SOLUTION: Out of 15 boys and 9 girls, how many different committees can be formed each consisting of 6 boys and 4 girls?

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Question 329066: Out of 15 boys and 9 girls, how many different committees can be formed each consisting of 6 boys and 4 girls?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
Choose 6 from the 15 boys and 4 from the 9 girls.
C%2815%2C6%29%2AC%289%2C4%29=630630
Do you have a calculator that does combinations and permutations?. Many calculators do these operations. It is easier than working through the formula.
C%2815%2C6%29=15%21%2F%286%219%21%29=5005
Example:
If we write this out and cancel the appropriate terms, we get:

Cancelling, it whittles down to:
5%2A7%2A13%2A11=5005