If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
total = 10c3 = 120
no of ways 3 people with 2 couple and a single can be selected = 5 x8 = 40
so, no of ways 3 people with all individual singles can be selected = 120 - 40 = 80
Nice explanation prof
However, I was wondering..what is wrond wid....10C1 * 8C1 * 6C1
10C1---> take one person out of 10
8C1-->leave the spouse of the person selected in above round..
6C1--->leave the spuse of pwerson selected above...
Plz tell what m I missing..