Abox contains 14 scarves in unique colors if 4 scarves are picked randomly from the box how many different combinations are possible if the order dosen't matter

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.

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