Posted by **kitkat** on Sunday, November 28, 2010 at 10:47am.

A committee of students and teachers is being formed to study the issue of student parking privileges. Fifteen staff members and 18 students have expressed an interest in serving on the committee. In how many different ways could a five-person committee be formed if it must include at least one student and one teacher?

- math 12 -
**Reiny**, Sunday, November 28, 2010 at 10:57am
can't have all staff or all sudents.

number of ways for all staff = C(15,5) = 3003

number of ways with all students = C(18,5) = 8568

With no restrictions = C(33,5) = 237336

So as stated above :

237336 - 3003 - 8568 = 225765

- math 12 -
**kitkat**, Sunday, November 28, 2010 at 11:54am
Thanks:) I got the same answer

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