There are 3 red chips and 2 blue ones.
When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
This could be put in a format RRRBB. So total ways of choosing is 5! and since there are 3 R and 2 B, putting the R/B differently within each color pattern does not change anything so we need to remove them. So the formula is 5!/(3!2!) = 10
Class of 2012
Great Lakes Institute of Management