Question

When nine basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name.

Answer 1

The probability is
`(1)/(362880)`

Explanation:

First the number of ways in which they can order the nine names for shoots can be calculated with the rule of multiplication as:

9*8*7*6*5*4*3*2*1=362880

Additionally there is only one way from the 362880 in which they are in alphabetical order, so the probability is calculated as:

`P=(1)/(362880)`