One morning the man shook one pill out of the Med A bottle, into his hand. He recapped the bottle, and picked up the Med B bottle. When trying to shake one pill out of the Med B bottle, two fell into his hand. The man now has one Med A and two Med B pills in the same hand and can't tell them apart. . If it's not possible, try to prove or at least explain why not.
All mathematicians are either pure or applied.
Some of the sums are given on the outside. The total of all five icons is a 2-digit factorial. I have eight integers in my list. Use the clues to find my numbers. One of my numbers is an abundant number between 21 and 25.