Puzzle #173 Solution: Marbles Spoiler Inside: Solution to Puzzle SelectShow> Let r, o, y, g, b, and v be the number of marbles of each colour. There are one to six of each marble colour, and each number is used once. Using the clues gets the partial orderings of r < o, r < y < g, b < y, and b < v. Since v = 2, b = 1. Since o = 4, r = 3 (the only number left less than 4). Since y < g, y = 5 and g = 6. In summary, red: 3, orange: 4, yellow: 5, green: 6, blue: 1, violet: 2.