math

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A group of friends consist of 3 girls and 5 boys. If that group of friends is separated into a group containing 1 girl and 2 boys, how many combinations of the original 8 friends could be made into the smaller group?

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There three ways of choosing 1 girl out of three (3C1) and (5C2) ways of choosing 2 boys out of 5.
Total number of ways
= (3C1)(5C2)
= (3)(10)
= 30

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