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Problem
A researcher asked 100 seventh graders whether they
play tennis or swim. Twenty-one play tennis, and
30 swim. Fourteen play tennis and swim.
(a) Draw a two-set Venn diagram that displays these
results.
(b) How many students play neither sport?
Solution
The total of students for this case is n=100
We also know that 21 play tennis and 30 swin and 14 play both
Part a
Part b
For this case we can find the number of people who play neither sport with this formula:
100 - 16-14-7= 63