5. You have 12 skittles: 5 purple, 4 red, 2 yellow and 1 green. How many visually distinct ways can you line them
up from left to right? (We will put the letter S facing up)
A: 83,160
$\frac{n!}{n_1!n_2!n_3!} = \frac{12!}{5!4!2!}$
6. How many of those 83,160 result in the first two being purple?
A: 12,600
7. How many result in the two yellow skittles being next to each other?
A: 13,860