Question

the venn diagram shows the memberships for the tennis club and the volleyball club. use the diagram to answer the questions below. (a) how many people play tennis? (b) how many people play both tennis and volleyball? (c) how many people play volleyball but not tennis?

Explanation:

Step1: Count people in Tennis circle

Count all names in Tennis circle (including intersection). Jim, Frank, Pablo, Miguel, Shen, Austin, Christine. So \(4 + 3=7\).

Step2: Count people in intersection

Count names in the overlapping part (both clubs). Shen, Austin, Christine. So \(3\).

Step3: Count people in Volleyball - only

Count names in Volleyball circle not in Tennis. Bill, Charlie. So \(2\).

Answer:

(a) \(7\)
(b) \(3\)
(c) \(2\)