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

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You have a group of 10 teachers, 4 teach French and 6 teach [#permalink] New post 10 Aug 2004, 08:08
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?
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 [#permalink] New post 10 Aug 2004, 08:14
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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 [#permalink] New post 10 Aug 2004, 08:18
Agree 100..
Group of 3 = Prob of 1 french + Prob of 2 French + Prob all 3 are french
=4C1*6C2 + 4C2*6C1 + 4C3
= 100..
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 [#permalink] New post 10 Aug 2004, 08:53
agree with 100 and with method.
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 [#permalink] New post 10 Aug 2004, 10:24
4C1 * 6C2 + 4C2 * 6C1 + 4C3 = 100

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  [#permalink] 10 Aug 2004, 10:24
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You have a group of 10 teachers, 4 teach French and 6 teach

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