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math 12

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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 -

    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 -

    Thanks:) I got the same answer

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