Question

in a class of 32 students, 17 study music and 20 study art. what is the least number of students who are studying both art and music

Answer 1

Let A be number studying art, Let M be number studying music, Let B be number studying both

Number studying art or music = A + M - B

Maximum number studying art or music = 32

Hence, 32 = 20 + 17 - B

Hence, minimum is 20 + 17 - 32 = 5.

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