Before you is a pile of 8 blocks: 4 are white, 3 are yellow, and 1 is purple. By placing the blocks side by side in a straight line, how many different color patterns could you make?

A.

288

B.

140

C.

1,260

D.

362,880

The answer is

using the factoral calculator, we can find

4! x 3! x 1! = (4x3x2x1) x (3x2x1) x (1) = 24 * 6 * 1 = 144

it will be placed side by side (two manners)

so it will be 2 x 144 = 288 different color patterns

the answer is A. 288