Answer: 80
Step-by-step explanation:
Given : Number of married couples = 5
Number of people required = 3
Since , the committee does not include two people who are married to each other,
We consider 1 married couple as one people , then the number of ways to select 3 persons =[tex]^{5}C_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5\times4\times3!}{3!\times2}=10[/tex]
Also, chances of selecting any partner = 2 (either Husband or wife)
So for 3 persons the total chances =(2) (2) (2)
Total number of ways to form the committee so that the committee does not include two people who are married to each other= 10 x (2) (2) (2) =80
Hence, the number of committees are possible = 80
