Problem #WSP-000544

Problems Combinatorics

Problem

200 people were asked if they drank one of the following beverages regularly: tea, coffee and beer. 185 people said they drank at least one of these beverages. Funnily, for every choice of a pair of beverages, 122 people said they drank at least one beverage out of the pair. The even stranger fact was that for each choice of a beverage, exactly 73 people admitted to drinking it.

How many people drink all three beverages?