Hello everyone. I need some help answering this question. I have 16 colors to choose from, and I can arrange any 15 in a row at my choosing, but the following example would not count as two unique combinations, since the end result is the same color (14 reds and 1 blue).

Locations 1-14 are Red and location 15 is Blue

Location 1 is Blue and locations 2-15 are Red

A factorial would count these as two combinations, so I am looking for the right equation to solve this. How manyUNIQUEcolor combinations are possible?

Thanks!