In how many ways can 15 basketball players be listed in a program?

1 Answer

#15! ~~ 1.3xx10^12# ways

Explanation:

I'm going to assume that the names are listed in some set manner (such as listed one below the next) and so we're not looking at patterns of how the names can be listed. Instead, we're only concerned with how the names can be placed within that pattern.

This then is the same type of question as arranging books on a shelf - we have a permutation (order matters). And since we are placing all 15 players in the program, the answer becomes #15! ~~ 1.3xx10^12# ways.