Do you need the number of multisets with 15 elements taken from the set of 16 elements? That would be (see the section "Counting multisets" in the link above).
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 many UNIQUE color combinations are possible?
Thanks!
Sort of. I need the number of unique color combinations I can create by selecting 15 colors from a set of 16 available colors. I think your above equation does not account for my example: These two would not count as two unique combinations, since the end result is the same blended 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
Make sense?
Go here:
The On-Line Encyclopedia of Integer Sequences™ (OEIS™)
Enter sequence# A000984