In the discussion, participants analyze the total number of handshakes exchanged between two American football teams, each comprising 33 players (11 from offense, defense, and special teams). The key point is that players only shake hands with members of the opposing team, leading to a calculation of 33 players from one team shaking hands with 33 players from the other team, resulting in 1,089 handshakes. Further scenarios are explored, including cases where players shake hands with everyone except their own sub-team, totaling 1,815 handshakes, and a scenario where all players shake hands with everyone else, yielding 2,145 handshakes. The discussion emphasizes the importance of clarifying the conditions under which handshakes occur.
