A decorator adds vases to a mantle to decorate. She wants to use 2 matching green vases, 3 matching blue vases, and 4 matching white vases. Find the total number of arrangements of vases that can be made.
There are 2 green, 3 blue, and 4 white vases. The green vases can be arranged in 2! = 2*1 = 2 ways. The blue vases can be arranged in 3! = 3*21 = 6 ways. The white vases can be arranged in 4! = 4*3*2*1 = 24 ways.