Hi. I have a math problem and wonder if anyone can help me solve it and perhaps explain how. The problem is:

3 couples, all consisting of man & woman, eat dinner together at a gathering. The man in couple A (which I have denoted as A subscript 1) knows everyone at the gathering. Q is; Who does his wife (A subscript 2) know?

I have posted a suggestion for a start of how it supposedly can be solved. I have denoted "0" as "no new acquaintance" so an idea is to use "1" as "new acquaintance". I hope someone can help.. Thanks!