Engineering Board Exam Reviewer · Venn Diagrams · medium
In a survey of 100 people, 50 like A, 40 like B, and 30 like C. Also, 20 like A and B, 15 like B and C, 10 like A and C, and 5 like all three. How many like none of the three?
- 20
- 30
- 25
- 15
Answer
A. 20
Solution
By inclusion-exclusion: |A B C|=50+40+30-20-15-10+5=80. None: 100-80=20.
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