Question

If you know the names of the remaining eight eight 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?

Answer 1

Assuming that there are 8 names that are going to be used for a random order; 

First, let's try to figure out how many possible ways the names can be arrange: 

=8 choices x 7 choice x 6 choices x 5 ... x 1 choice (if you select person A to go first, they cannot be second as well, so that is why 8 choices is multiplied by 7 instead of 8) 

This can also be written as 8! 

The specific way that a random set of names is chosen by you and actually chosen is 1. Each name has a specific order, in each term so there can only be one possible way. 

Therefore, P(order being chosen)=1/8! 

Hope I helped :)