Suppose you have a red cup and a green cup. At the start, the red cup contains some number r red jellybeans (and nothing else) and the green cup contains some number g green jellybeans (and nothing else). Then, in each step, you take one jellybean from each cup, mix them up, and put one jellybean back into each cup. Prove that, after any number of steps, the number of green jellybeans in the red cup is equal to the number of red jellybeans in the green cup.

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Let denote respectively the number of green and red respectively jellybeans in the red and green cup ... View the full answer