SOLUTION: The principal of a school wants to form a committee of senior students to come up with a new dress code. He wants the committee to have 3 female members and 2 male members. If th

Algebra ->  Probability-and-statistics -> SOLUTION: The principal of a school wants to form a committee of senior students to come up with a new dress code. He wants the committee to have 3 female members and 2 male members. If th      Log On


   

Question 929850: The principal of a school wants to form a committee of senior students to come up with a new dress code. He wants the committee to have 3 female members and 2 male members. If there 8 female seniors and 7 male seniors, how many possible committees can be formed?
Answer by stanbon(75887) About Me  (Show Source):
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The principal of a school wants to form a committee of senior students to come up with a new dress code. He wants the committee to have 3 female members and 2 male members. If there 8 female seniors and 7 male seniors, how many possible committees can be formed?
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# of ways to succeed: 8C3 * 7C2 = 56 * 21 = 1176
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# of possible groups of 15C5 = 3003
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Ans:: P(condition) = 1176/3003 = 0.3916
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Cheers,
Stan H.