Answer
Success!
a = 17153136
↓Steps Explained:↓
How many ways (ordered) can you:
Arrange 18 into groups of 6?
Calculate small groupings (k):
| k = | n |
| m |
| k = | 18 |
| 6 |
k = 3
| a = | 18! |
| 6!3 |
Calculate factorial
Remember our factorial lesson that:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Plug in n = 18
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 |
Final Answer
a = 17153136Take the Quiz
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