(28) Each bag of a manufacturer's candy contains 5 gumballs in no particular order. The gumballs are random assortments from among 4 different colors: red, orange, yellow, and green (R,O,Y,G).
Examples: An (unordered) package of 5 gumballs might consist of:
• 5-red; -or-
• 2-green; 3 green; -or-
• 2-red, 1-orange, 1-yellow, 1-green, -or-
Question: How many of these different unordered combinations of colors are possible for each bag?
Your answer must be in a format like, "515 different unordered combinations are possible."