Group Problem

Each of the 59 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?

A) 2
B) 5
C) 6
D) 8
E) 9

22+27+28 = 77
77-59=18 - the number of people who attend 2 and 3 clubs
now 18-6*2(since six people go to 2 clubs)=6 - 6 people who attend all three clubs