# A certain high school has 5000 students…

# Solution:

We are given an overlapping set with 2 categories: music and art. In any two-category set problem we can use the following formula:

Total number of members = # in category A + # in category B – # in both categories + # in neither category

Using the formula for the current problem we have:

5,000 = x + y – z + neither

5,000 – x – y + z = neither

**Answer: E**