Number of Ways to Select 3 Men & 3 Women from 5 Married Couples

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SUMMARY

The problem involves selecting 3 men and 3 women from 5 married couples while ensuring that exactly 2 of the selected couples are married to each other. The solution begins by selecting 2 couples from the 5 available, which can be done in 10 ways. Next, one man is chosen from the remaining 3 men, and one woman is selected from the 2 women who are not his spouse. This results in a total of 60 valid combinations for the selection process.

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Find the number of ways of selecting 3 men and 3 women from 5 married couples such that there are exactly 2 married couples.

I need the reasoning
 
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First you select two couples out of five. Then you select one man out of the remaining three and one of the two women who are not his spouse.
 
Punch said:
Find the number of ways of selecting 3 men and 3 women from 5 married couples such that there are exactly 2 married couples.
I need the reasoning
Choose three wives. From their husbands choose two. Then choose one of the other men not married to any of the three chosen wives.
 

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