How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)
Solution:
| Step 1:
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| We can at most choose 1 person from the husband and wife pairs.
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So, we have  ways to pick a 4 people from each couple.
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| Step 2:
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| But, then for each couple, we could choose the husband or the wife to serve on the committee.
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So, there are  ways to select a committee of four people.
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