There are 5 couples. We will choose 4 persons but we want just 2 of them to be married. How many ways are there?

My way:C(5,1):We choose 1 couple.

C(8,2): We choose 2 persons.

But we don't want married couples. There were 4 married couples.We choose 1 among them and this makes 4.

24.5=120?