In a class of 32 students, 17 study Music and 20 study Art. What is the LEAST number of students who are studying BOTH Music and Art?

least number: 5

why?

32=20+17-x

x=5

To find the least number of students studying both Music and Art, we need to determine the overlap between the two groups.

The number of students studying Music is 17, and the number of students studying Art is 20. However, the total number of students in the class is 32. Since it is impossible for more students to study Music or Art than there are in the entire class, the maximum number of students studying both subjects is the minimum of the two numbers, which is 17.

Therefore, the least number of students studying both Music and Art is 17.