In a recent survey, 75 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 39 liked them mashed, 39 liked French fried, and 33 liked twice baked potatoes. Additionally, 21 students liked both mashed and fried potatoes, 26 liked French fries and twice baked potatoes, 19 liked mashed and baked, and 12 liked all three styles. How many students hate potatoes? Explain why your answer is correct.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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In a recent survey, 75 students reported whether
they liked their potatoes Mashed, French-fried, or
Twice-baked. 39 liked them mashed, 39 liked
French fried, and 33 liked twice baked potatoes.
Additionally, 21 students liked both mashed and
fried potatoes, 26 liked French fries and twice
baked potatoes, 19 liked mashed and baked, and
12 liked all three styles.
How many students hate potatoes?
Explain why your answer is correct.
Transcribed Image Text:In a recent survey, 75 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 39 liked them mashed, 39 liked French fried, and 33 liked twice baked potatoes. Additionally, 21 students liked both mashed and fried potatoes, 26 liked French fries and twice baked potatoes, 19 liked mashed and baked, and 12 liked all three styles. How many students hate potatoes? Explain why your answer is correct.
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