A paint box contains 12 bottles of different colors. If we choose equal quantities of 3 different colors at random, how many color combinations are possible? A. 479,001,600 B. 1,320 C. 220 D. 36
Accepted Solution
A:
Answer:CStep-by-step explanation:You are choosing 3 from a total of 12. Order does not matter. So you are working with combinations. The answer symbolically is12C312C3 = 12!/(9!3!)12C3 = 12 * 11 * 10 * 9!/(9! 3!)12C3 = 12 * 11 * 10/612C3 = 2 * 11 * 1012C3 = 220