Question 11
Gryffindor Secondary School has 170 students. A survey of their hobbies shows:
- 79 like alchemy, 75 like origami, and 34 like stage illusion;
- 32 like both alchemy and origami;
- 24 like both alchemy and stage illusion;
- 13 like all three;
- 45 have hobbies not listed above.
How many like both stage illusion and origami but not alchemy?
Interpretation: The 45 students have none of the three listed hobbies; counts of “both” include those liking all three.
- 79 like alchemy, 75 like origami, and 34 like stage illusion;
- 32 like both alchemy and origami;
- 24 like both alchemy and stage illusion;
- 13 like all three;
- 45 have hobbies not listed above.
How many like both stage illusion and origami but not alchemy?
Interpretation: The 45 students have none of the three listed hobbies; counts of “both” include those liking all three.