SOLUTION: In how many ways can a committee of 4 be selected from 8 and 6 men if Marge (One of the ladies) refuses to serve in the same committee as her ex-boyfriend, Joel (one of the 6 men).
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-> SOLUTION: In how many ways can a committee of 4 be selected from 8 and 6 men if Marge (One of the ladies) refuses to serve in the same committee as her ex-boyfriend, Joel (one of the 6 men).
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Question 1126531: In how many ways can a committee of 4 be selected from 8 and 6 men if Marge (One of the ladies) refuses to serve in the same committee as her ex-boyfriend, Joel (one of the 6 men). Answer by ikleyn(52781) (Show Source):
If neglect the restriction, then the number of ways is = = = 1001.
Of this number of ways, some groups are prohibited. They are those that include Marge and Joel, complemented by 2 other,
arbitrary chosen persons of remaining (8+6)-2 = 12 persons.
So, the number of the prohibited groups is = = 66.
Then the answer to the problem's question is this difference
1001 - 66 = 935.
