great question need help!

There are 10 teachers, 4 teach french, and the others teach spanish or german. If you can only selected 3 teacher, how many combinations are there?

[spoiler]the answer is 100, please tell me how and why! thanks so much
[/spoiler]

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shanmugam.d: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Thu Apr 30, 2009 1:32 pm; Thanked: 2 times

by shanmugam.d » Sun Jun 28, 2009 11:47 pm

https://www.beatthegmat.com/my-gmat-is-i ... 39654.html

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pops: Master | Next Rank: 500 Posts; Posts: 148; Joined: Tue Jun 09, 2009 11:06 pm; Thanked: 7 times

by pops » Mon Jun 29, 2009 12:23 am

actually the question posted here is incomplete as it is missing "at least one must teach french"
in that case the question is to select 3 teachers from 10 which is
10C3 = 120

otherwise if at least one french teacher is to be selected then the above solution is perfect

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shanmugam.d: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Thu Apr 30, 2009 1:32 pm; Thanked: 2 times

by shanmugam.d » Mon Jun 29, 2009 1:21 am

I think the question is missing that part. because i feel i had come across this question

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