How many handshakes are produced in total?

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?

No Yes

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