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Another counting problem

  1. Oct 5, 2009 #1
    1. The problem statement, all variables and given/known data

    A committee of seven is to be chosen from 8 men and 9 women.
    a) how many possible committees are there?
    b) how many committees contain at least 6 woment?
    c) if bob and alice cannot be on the same committee because they cannot work together well, how many committees are possible?

    2. Relevant equations

    3. The attempt at a solution

    Not sure where to start really... other than writing down every possible committee
  2. jcsd
  3. Oct 5, 2009 #2

    (a) This is a combination, (8+9) choose 7.

    (b) (committee of 7 with 6 women) + (committee of 7 with 7 women)

    (c) (all committees) - (those with both Bob and Alice).

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