SOLUTION: Stats problem In how many ways can 15 students be lined up?

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Question 1087409: Stats problem In how many ways can 15 students be lined up?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

There are 15 ways to choose the first student. After the student is chosen, they can't be picked again leaving 14 choices for the second spot in line. Then there are 13 choices for the third spot in line. This pattern counts down til you get to 1

We have these values: 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1.

From here you multiply out all of the values from 15 all the way down to 1

15*14*13*12*11*10*9*8*7*6*5*4*3*2*1 = 1,307,674,368,000

So there are 1,307,674,368,000 ways to line the fifteen students up

This number is a little over 1.3 trillion.