Question

In a fraternity with 37 members, 18 take mathematics, 5 take both mathematics and art history, and 8 take neither mathematics nor art history. How many take art history but not mathematics?

Answer 1

Fraternity of 32 members with 8 taking neither math or physics

Of the 24, 5 took both. 24 - 5 = 19 taking one. 18 taking just Math.

Just 1 took only Physics.

Explanation:

Answer 2

fraternity of 32 members with 8 taking neither math or physics
Of the 24, 5 took both. 24 - 5 = 19 taking one. 18 taking just Math.
Just 1 took only Physics.

checking our answer:
just Math 18
just Physics 1
both 5
neither 8
total 32
just physics = 32 - 8 -5 -18 = 1