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A committee of seven people is to be chosen from twelve married couples.How many ways can a committee containing no married couple be chosen?
Wiki User
∙ 14y ago
If there are 12 couples there's 24 people total, 12 males and 12 females.
There are 24 choices for the first person.
Once the first person is picked there are only 22 choices for the second person (because you can't pick the first person or their spouse.)
For the third person there are 20 choices.
For the fourth person there are 18 choices.
The fifth has 16 choices, the sixth has 14 choices, and the seventh has 12 choices.
Therefore there are 24 x 22 x 20 x 18 x 16 x 14 x 12 = 510935040 ways total.
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The above calculation assumes that order of selection matters. If the order doesn't matter (i.e., if you're looking for combinations rather than permutations), then the above result needs to be divided by 7!=5040. 510935040/540= 946176 possible combinations.
Wiki User
∙ 14y ago
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Musical chairs.
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It is true that the committee chairperson is chosen based on seniority. This is the individual that presides over the meetings that take place within the Senate.
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The vote of the Majority Party.
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