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?
17+20-32 = 5
To find the least number of students studying both Music and Art, we need to look at the total number of students studying each subject and find the smaller value.
In this case, there are 17 students studying Music and 20 students studying Art.
The smaller value between 17 and 20 is 17. So, the least number of students studying both Music and Art is 17.
To find the least number of students studying both Music and Art, we can use the concept of set intersection.
First, let's determine the maximum number of students studying both Music and Art. Since there are 17 students studying Music and 20 students studying Art, the maximum number of students who could be studying both subjects is the smaller of the two numbers, which is 17.
Now, to find the least number of students studying both Music and Art, we need to consider the possibility that some students who study Art do not study Music. Since there are 20 students studying Art, the maximum number of students who are not studying Music is 20.
Therefore, the least number of students studying both Music and Art is the difference between the maximum number of students studying both (17) and the maximum number of students not studying Music (20).
17 - 20 = -3
However, it doesn't make sense to have a negative number of students. In this case, it means that there are more students not studying Music than the total number of students studying Art.
Since the least number of students studying both Music and Art must be a non-negative number, the answer is 0.