Question:
A survey of 200 people found that 120 like coffee, 150 like tea, and 80 like both. How many people do not like either coffee or tea?
A survey of 200 people found that 120 like coffee, 150 like tea, and 80 like both. How many people do not like either coffee or tea?
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To solve problems involving sets, use the principle of inclusion and exclusion to avoid double-counting the people who like both coffee and tea.
Updated On: Oct 6, 2025
- \( 10 \)
- \( 20 \)
- \( 30 \)
- \( 40 \)
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The Correct Option is A
Solution and Explanation
Step 1: Use the principle of inclusion and exclusion. The total number of people who like either coffee, tea, or both is:
\[
120 + 150 - 80 = 190.
\]
Step 2: Subtract this from the total number of people surveyed:
\[
200 - 190 = 10.
\]
Thus, 10 people do not like either coffee or tea.
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