There are 5 Red, 5 green, and 5 blue cubes in a bag. How many color combinations can be made from a single drawing of 5 random cubes?

1 Answer
Mar 29, 2018

243

Explanation:

With your first pick you have THREE choices, R, G or B.
With your second pick:
If you picked R you could now pick R, G or B
If you picked G you could now pick R, G or B and
If you picked B you could now pick R, G or B
So on your second pick you have NINE choices
This continues so that you multiply the last number of choices by three.
Pick three you have TWENTY SEVEN choices
Pick four you have EIGHTY ONE choices
Pick five you have 243 choices.