C. A music teacher has surveyed 515 students. The results of the survey are as follows: 258 students lik rap music; 265 students like rock music; 257 students like heavy metal music; 141 students like both ra music and rock music; 145 students like both rap music and heavy metal music; 136 students like bot rock music and heavy metal music; 73 students like all three. Construct a Venn diagram representin the given information and answer the following. How many of these students like: exactly three types of music? only rock music? rock music or heavy metal music? none of the mentioned types of music? only one of the given types of music? . rap music and rock music, but not heavy metal? . at least one of the given types of music? heavy metal or rock music, but not rap music? heavy metal music? only rap music?

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