Question

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

Answer 1

The first one on the list can be any one of 25.

For each of those . . . . .

The 2nd one on the list can be any one of the other 14.

For each of those . . . . .

The 3rd one can be any one of the other 13.

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.

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The total number of different ways to list them is "15 factorial" .

That's written as " 15 ! ". It means

15 · 14 · 13 · 12 · 11 · 10 · 9 · 8 · 7 · 6 · 5 · 4 · 3 · 2 · 1

and it's a big number.

15 ! = 1,307,674,368,000 (rounded to the nearest thousand).

Answer 2

The answer is 15 !

Step-by-step explanation:
You have 15 slots, each of which will hold one of the names of the players. You need to fill the first slot with some name.