Friday, February 17, 2006

PS - student clubs

Club...........number of students
---------------------------------
chess...............40
drama.............30
math...............25


The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, 10 students are both in chess and drama, 5 students are in both chess and math, and 6 students are in both drama and math. Hom many different students are in the three clubs?

A 68
B 69
C 74
D 79
E 84

1 comment:

Luís Botelho Ribeiro said...

As no student is simultaneously in 3 clubs, things get simpler. We just have to sum up all the club members and discount the double-subscriptions: 40+30+25-(10+5+6)=95-21=74. Option (C) is the one to choose.