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Language class combination

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by Lookingfor700GMAT » Thu Mar 11, 2010 6:43 am
In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose a 3 member committee who must have at least one member who teaches French, how many different committees can be chosen?

The answer is 100 but I was unsure how to account for "at least 1 member who speaks French. I thought I would use the combination formula for the remaining two places so 6!/4!2! but I wasn't sure how to get to a 100.
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Source: — Problem Solving |

by papgust » Thu Mar 11, 2010 6:48 am
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by Lookingfor700GMAT » Thu Mar 11, 2010 7:16 am
This is the last one. Thanks so much
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