Be my guest...

There are \({n}\) people at a party (n > 2 for finite n) and they can choose to shake a person's hand (\({only}\) \({once}\)) or not, but they cannot shake their own hand. Which of the following statements are true:

A) There are at most \(\frac{n(n+1)}{2}\) hand shakes

B) There can be 2n handshakes

C) At least one person, shakes two (or more) hands

D) It is possible for there to be one handshake each

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