Question 5
The integers 1 through 100 are colored: 50 red, 25 yellow, 25 green. The red and yellow numbers can be partitioned into 25 triples, each containing two red numbers and a yellow number strictly between them. The same is possible for the red and green numbers. Must all 100 numbers be partitionable into 25 quadruples, each with two red numbers, one yellow and one green, both nonred numbers strictly between the red numbers?
