Since the order does not matter as the colors of the scarves are picked, this is a case of combinations. We use the formula: nCk = n!/( (n-k)! k! ) 14C4 = 14!/( (14-4)! 4! ) 14C4 = 1001
Therefore, there are 1001 different combinations possible if 4 scarves are picked from a box containing 14 scarves of unique colors.