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Math Help - another permutations / combinations question

  1. #1
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    another permutations / combinations question

    The student government at a school consists of 4 seniors, 3 juniors, 3 sophomores, and 2 freshmen. How many different nine-student committees can be formed that include, at most, one freshman?
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    Quote Originally Posted by cityismine View Post
    The student government at a school consists of 4 seniors, 3 juniors, 3 sophomores, and 2 freshmen. How many different nine-student committees can be formed that include, at most, one freshman?
    No freshmen: You need to choose 9 people from (4 + 3 + 3) = 10 people:

    10C9 = .....

    One freshmen: (2C1) (10C8) = ....

    Now add these two numbers together.
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