Question 1081455: What are the different ways can the numbers 3,5,5,& 8 be arranged?
Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website!
If we could tell the 5's apart, there would be:
4 ways to place the 3.
3 ways to place the first 5.
2 ways to place the second 5.
1 way to place the 1.
The answer would be (4)(3)(2)(1) = 24 ways.
However since we cannot tell the first 5 from the second 5,
we must divide by the number of ways they can be switched,
which is 2 ways.
Answer: 24/2 = 12 ways. Here they are listed:
1. 3558
2. 3585
3. 3855
4. 5358
5. 5385
6. 5538
7. 5583
8. 5835
9. 5853
10. 8355
11. 8535
12. 8553
Edwin
|
|
|