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

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

• There is a person in the party who is acquainted with all the twenty-six others . (Incorrect)
• Each person in the party has a different number of acquaintances (Correct)
• There is a person in the party who has an odd number of acquaintances (Incorrect)
• In the party, there is no set of three mutual acquaintances . (Incorrect)