l
How many ways (ordered) can you:
Arrange 18 into groups of 6?
k = | n |
m |
k = | 18 |
6 |
k = 3
a = | 18! |
6!3 |
Remember our factorial lesson that:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
18! = 18 x 17 x 16 x 15 x 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
18! = 6402373705728000
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720, so we have:
a = | 18! |
7203 |
a = | 6402373705728000 |
373248000 |