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From the set "Music" of 25 students, subtract the subset "both" of 8 students.
You will get then the subset "the music ONLY" consisting of 25 - 8 = 17 students.
ANSWER. The number of students who take only music is 17.
Solved.
Notice that the number of those who take "drama" is excessive in this problem and does not participate in the solution.
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To learn better, wider and deeper on solving similar problems, read the lesson
- Counting elements in sub-sets of a given finite set
in this forum.