If exactly eighty one persons attend a party, which of the following statements can never be true?

Options
- There is a person in the party who shakes hands with all the others in the party.
- Each person in the party shakes hands with a different number of persons.
- There is a person in the party who shakes hands with an odd number of persons.
- There is no set of three mutual hand shakes.

CORRECT ANSWER : Each person in the party shakes hands with a different number of persons.

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