I have been struggling with this problem for a while. I'd be glad if anyone could help me with this.
My wife and I recently attended a party at which there were three other married couples. Various handshakes took place. No one shook hands with oneself, nor with one's spouse, and no one shook hands with the same person more than once. After all the handshakes were over, I asked each person, including my wife, how many hands he (or she) had shaken. To my surprise each gave a different answer. How many hands did my wife shake?
I understand that the maximum and minimum number of handshakes that can take place are 6 and 0 and that these people must be married. Similarly I get that other pairs should be (5,1) (4,2) and (3,3). What has really been bothering me is that how do I know which pair is me and my wife?