If you know the names of the remaining nine students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in the spelling bee? p(selecting the correct spelling bee order)equals nothing

The probability of getting the correct order in the spelling bee is 1 chance in 362,880.

This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.

For the first spot there are 9 choices, then 8 choices, then 7 choices

We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

Another way to write this is: 9!