At Crosby High School, 36 students are taking either AP Calculus or AP Physics or both, and 10 students are taking both AP Calculus and AP Physics. If there are 31 students in the AP Calculus section, how many students are in the AP Physics section?

There are 5 students only taking AP physics class. This number is derived by removing students taking both AP calculus and physics, and those only taking AP calculus from the total of 36 students.

Explanation:

The question describes a situation that involves set theory or basic counting principles in mathematics. In this case, we're looking at a classic Venn diagram situation, with some students taking AP calculus, some taking AP physics, and some taking both. Here's how you work it out:

We start with the total number of students taking either class or both, which is 36.
We know that 10 students are taking both classes.
If we subtract the number of students taking both classes from the total number, we find out the number of students who are taking either AP calculus or AP physics, but not both. This is 36 - 10 = 26 students.
We also know that the total number of students in the AP calculus classes is 31.
To find the number of students just in the AP physics class, we subtract the number of students taking both classes and the number of students taking just AP calculus from the total. This is 26 - 21 = 5 students.

Learn more about Set Theory here:

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