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In how many ways can a committee of five people be selected from seven women and nine men if at least one woman must be in the committee?

  • math -

    Number of ways to choose 5 from 9 men
    =(9,5)
    Number of ways to choose 5 from all 16
    =(16,5)

    Number of ways to select 5 from 9 men and 7 women with at least one woman
    =(16,5)-(9,5)

  • math -

    125

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