Problema Solution
A paint box contains 12 different colors. If we choose equal quantities of 3 different colors at random, how many color combinations are possible?
Answer provided by our tutors
a combination is a way of selecting members from a grouping, such that the order of selection does not matter.
in our case we have 3-combinations of a set of 12 elements:
C(12, 3) = 12!/(3! (12-3)!)
C(12, 3) = 12!/(3! 9!)
C(12, 3) = (10*11*12)/(2*3)
C(12, 3) = 220 color combinations are possible.