https://s3-us-west-2.amazonaws.com/secure.notion-static.com/6cf35f85-eebf-499f-80dc-f07d0af7a857/25Jun538.pdf

The Marbles problem actually has too much information: even if the number of colors is an unknown integer, the solution -- 3 colors, with 35, 44, 21 marbles of each color -- is still unique.