A music teacher has surveyed 509 students. The results of the survey are as follows: 256 students like rap music; 274 students like rock music; 255 students like heavy metal music; 141 students like both rap music and rock music; 138 students like both rap music and heavy metal music; 145 students like both rock music and heavy metal music; 73 students like all three. Construct a Venn diagram representing the given information and answer the following. How many of these students like: 1. exactly three types of music? 2. only rock music? 3. rock music or heavy metal music?
A music teacher has surveyed 509 students. The results of the survey are as follows: 256 students like rap music; 274 students like rock music; 255 students like heavy metal music; 141 students like both rap
music and rock music; 138 students like both rap music and heavy metal music; 145 students like both rock music and heavy metal music; 73 students like all three. Construct a Venn diagram representing
the given information and answer the following. How many of these students like:
1. exactly three types of music?
2. only rock music?
3. rock music or heavy metal music?
4. none of the mentioned types of music?
5. only one of the given types of music?
6. rap music and rock music, but not heavy metal?
7. at least one of the given types of music?
8. heavy metal or rock music, but not rap music?
9. heavy metal music?
10. only rap music?
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