How many handshakes are produced in total?
If there are two people in a room and each person shakes each person's hand exactly once, there will be 1 handshake.
If there are three people in a room and each person shakes each person's hand exactly once, there will be 3 handshakes.
If there are four people in a room and each person shakes each person's hand exactly once, there will be 6 handshakes.
If there are five people in a room and each person shakes each person's hand exactly once, there will be 10 handshakes.
Is it true that the handshake problem shown is the same as finding the number of games in a tournament in which each team plays against all the teams once?
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