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    Question

    At the conclusion of a party, a total number of 28

    handshakes were exchanged. Every person in the party shook hands with every other person who atended the party. What was the total number of persons who atended the party?
    A 8 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer

    Solution

    Let n be the number of people present. For every handshake, 2 persons are required. Since each handshake is between two persons, the total number of handshakes = nC2 =28 n! /{(n-2)! * 2!} = 28 n(n-1) = 56 So, n =8

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