Handshake question
Some people in a party in a hands with each other. The following information is known. - Each person shakes hands with exactly 20 persons - For each pair of persons who shake hands with each other, there is exactly 1 other person who shake hands with both of them - For each pair of persons who do not shake hands with each other, there are exactly 6 other persons who shake hands with both of them Determine the number of persons in the party
The answer is 81.
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