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

a.1

b.32,432,400

c.15

d.1,307,674,368,000

There are n! ways to permute an n element collection. So for this problem, there are 15 different people and you are looking for all the different orderings, or permutations, of those 15 people. The answer is 15!

15!=15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

=1,307,674,368,000

Hence D.

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