HELP!!! WILL MARK BRAINLIEST!!!

22 people attend a party. Each person shakes hands with at most 20 other people. What is the maximum possible number of handshakes, assuming that any two people can shake hands at most once?

Respuesta :

Total 440 hand shakes

Answer:

220\

Step-by-step explanation:

If each person shakes hands with exactly 20 other people, then there will be 22*20/2 handshakes, since two people are required to complete a handshake. To achieve 220 handshakes, we arrange the participants in a circle. Each person shakes hands with everyone except the person directly across from himself or herself (and himself or herself).

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