Question

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?

Answer 1

1 / 362880

Explanation:

There are 9 possible names that could be first.

After that, there are 8 possible names that could be second.

After that, there are 7 possible names that could be third.

So on and so forth.

So the number of permutations is:

9×8×7×6×... = 9! = 362880

The probability of randomly selecting the one order used in the spelling bee is therefore:

P = 1 / 362880