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# You have a group of 10 teachers, 4 teach French and 6 teach

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Intern
Joined: 28 May 2003
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You have a group of 10 teachers, 4 teach French and 6 teach [#permalink]  10 Aug 2004, 07:08
You have a group of 10 teachers, 4 teach French and 6 teach Spanish or German. How many groups of three can you make that contain at least 1 French teach?
GMAT Club Legend
Joined: 15 Dec 2003
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100
# of ways to form a group of 3 out of 10: 10C3 = 120
unfavorable outcomes where there are no french teachers: 6C3 = 20
Favorable outcomes: 120-20 = 100
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Best Regards,

Paul

Senior Manager
Joined: 05 Feb 2004
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Agree 100..
Group of 3 = Prob of 1 french + Prob of 2 French + Prob all 3 are french
=4C1*6C2 + 4C2*6C1 + 4C3
= 100..
CIO
Joined: 09 Mar 2003
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agree with 100 and with method.
Manager
Joined: 28 Jul 2004
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4C1 * 6C2 + 4C2 * 6C1 + 4C3 = 100

Thanks
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