The Final Test

This will be your final test, a voice says to me. (I had been dreaming about tests too much.) This test is very simple. I am given a set of three couch cushions each of different colors: pink, orange, and purple. The couch is white. – Put the cushions in the prettiest pattern, the voice says. After some calculations, I realize I have six options for color variations from left to right: pink orange purple, pink purple orange, orange pink purple, orange purple pink, purple orange pink, and purple pink orange. The couch also has three positions in which cushions can be placed in ten combinations: three at the left, three at the center, three at the right, two at the left and one in the center, two at the left and one at the right, two in the center and one at the left, two in the center and one on the right, two at the right and one at the left, two at the right and one at the center, and finally, one at each position. Since I have six different color schemes, I have sixty options to find the prettiest combination. So I have a one in sixty chance of passing the final test.