In how many ways can 14 basketball players be listed in a program?

A. 87,178,291,200***
B. 14
C. 1
D. 17,297,280

find 14! on your calculator.

14! = 87 178 291 200

indeed

To find the number of ways that 14 basketball players can be listed in a program, we can use the concept of permutations.

Permutations are arrangements of objects in a particular order. The formula to calculate permutations is given by nPm = n! / (n - m)!, where n represents the total number of objects and m represents the number of objects being selected.

In this case, we have 14 players and we need to list all of them, so we need to find the permutation of 14 players taken all at once.

Using the formula, we get:
14P14 = 14! / (14 - 14)!
= 14! / 0!
= 14! / 1
= 14!

Now, let's calculate 14!:
14! = 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 87,178,291,200

Therefore, the number of ways that 14 basketball players can be listed in a program is 87,178,291,200.

Therefore, the correct answer is A. 87,178,291,200.