Among a group of 20 students, 13 students are members of the Math Club, 11 students are members of the Drama Club, and 9 students are members of both clubs. How many of the 20 students are NOT members of either club?

Summary Submit Skip Question

Construct a Venn diagram. Begin with 9 students in the middle. Since there are 13 math club students, we know that there are 4 more that are just in math club only.

Use a similar reasoning to get 2 only drama club members.

The values must sum up to 20 students:

$$ \text{no club} + 4 + 9 + 2 = 20 $$ $$ \text{no club} + 15 = 20 $$ $$ \text{no club} = \boxed{5} $$