How many different ways are there to shade three eights of a square?

To determine the number of different ways to shade three-eighths of a square, we can think of it in terms of combinations. Since the square can be divided into 8 equal parts (like an 8-slice Pizza), we need to choose 3 out of these 8 parts to shade. The number of ways to choose 3 parts from 8 is given by the combination formula (\binom{8}{3} = \frac{8!}{3!(8-3)!} = 56). Therefore, there are 56 different ways to shade three-eighths of a square.