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.

288

140

1,260

362,880

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.

The total number of arrangements is

2*6*24 = 288

Answer: 288