Another round of handshakes
In the May 2013 teaser I had recounted the handshaking tale of the class of '80 at a reunion. On that occasion everyone had shaken hands with everyone else exactly once and there were 1225 handshakes in all. At that time I was left tearing my hair out while trying to figure out how many people were present from the number of handshakes.
Recently I had to pull out my remaining hairs while trying to figure out how many people were present at a party from the number of handshakes. In fact, I would have been happy if everyone in this party too had shaken hands with everybody else because I knew how to work that out. But here, each person shook hands with exactly three others.
Now let me put the question in proper perspective:
A certain number of people meet at a party. Each of them shakes hands with exactly three others (not a handshake more and not a handshake less). There were 24 handshakes in all. Can you tell me how many people were there at the party?