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mindruna
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PostPosted: Sun Aug 05, 2007 8:54 am    Post subject: GMAT Prep Reply with quote

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 which must have at least one French teacher, how many different committees are possible?

The official answer is 100.

I know that to determine the total possible number of committee combinations I would do the following:

10!/3!7! to get a total of 120 combinations. I don't know how to limit this number to include a French teacher in each group.

Thanks for your help in advance!
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lanter1
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PostPosted: Sun Aug 05, 2007 10:35 am    Post subject: Reply with quote

Total - none = at least one.

10c3-6c3=100.
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