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Twenty-seven persons attend a party. Which one of the following statements can never be true?

A)  There is a person in the party who is acquainted with all the twenty six-others.

B)  Each person in the party has a different number of acquaintances.

C)  There is a person in the party who has an odd number of acquaintances.

D)  In the party, there is no set of three mutual acquaintances.