MathDB
Find number of participants [Iran Second Round 1995]

Source:

November 25, 2010
combinatorics proposedcombinatorics

Problem Statement

Let kk be a positive integer. 12k12k persons have participated in a party and everyone shake hands with 3k+63k+6 other persons. We know that the number of persons who shake hands with every two persons is a fixed number. Find k.k.