What is the probability of rolling five six-sided dice, and getting a different number on each die? Select the correct option
A) 1/12  B) 1/3  C) 4/9  D) 5/54  E) 7/18
MAGOOSHOFFICIAL SOLUTION   For the first die, we can roll any one of six numbers. For the second die, we can roll any number save for the number we rolled on the first die, giving us 5 possibilities. For the third die, we can roll four different numbers (we can’t roll the number we rolled on the first or second die.   6 x 5 x 4x3x2 = 720 possibilities out of 216 total possibilities. (For total possibilities we get 6 x 6 x 6x6x6 = 6^5).   720/6^5 =5/54   Answer: 5/54.
<result>D</result>
What is the probability of rolling five six-sided dice, and getting a different number on each die?