Class of 20 students, 13 play soccer, 8 play tennis and 2 play neither.

Question

Find how many students
a) Play soccer or tennis
b) Play both soccer and tennis
c) Play only soccer

Answer 1

made a Venn diagram, labeled the intersection of the soccer circle and the tennis circle as x
then ...
13-x + x - 8-x + 2 = 20
-x = -3
x = 3

All can now be seen from the Venn diagram

soccer of tennis --- 18
both soccer and tennis -- 3
only soccer --- 10

Answer 2

y6