Question

a box 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

Answer 1

1001

Explanation:

Answer 2

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.