Exactly Two Sports

Difficulty: Hard · Topics: Discrete Mathematics, Sets, Word Problems

In a group of 36 people everybody plays football. The number of people who play football and basketball is equal to the number of people who play football and volleyball.

The number of people who play exactly one sport is one third of the number of people who play at most two sports.

If 12 people in the group play all three sports, how many people play exactly two sports?