schielrn
Well-known Member
- Joined
- Apr 4, 2007
- Messages
- 6,941
I'm working on something and I am trying to figure out how many combinations I should actually end up with? Here is what I have:
If you have 1 & 2, you can have 3 different combinations for what I am working on:
1
1+2
2
If you have 1, 2 & 3, you can have 7 different combinations for what I am working on:
1
1+2
1+3
1+2+3
2
2+3
3
If you have 1, 2, 3 & 4, you can have 15 different combinations for what I am working on:
1
1+2
1+3
1+4
1+2+3
1+2+4
1+3+4
1+2+3+4
2
2+3
2+4
2+3+4
3
3+4
4
If you have 1, 2, 3, 4 & 5, you can have 30 different combinations for what I am working on:
1
1+2
1+3
1+4
1+5
1+2+3
1+2+4
1+2+5
1+3+4
1+3+5
1+4+5
1+2+3+4
1+2+3+5
1+3+4+5
1+2+3+4+5
2
2+3
2+4
2+5
2+3+4
2+3+5
2+4+5
2+3+4+5
3
3+4
3+5
3+4+5
4
4+5
5
Maybe I am missing some combinations, but I don't think I am. I cannot for the life of me figure out a method to the growing number? Usually I am good with this, but nothing is jumping out at me. What I am trying to figure out is for 9 sum combinations? Can anyone solve this or is it that I just have to list it out?
Hopefully someone can offer some advice on this?
Thanks,
Rob
If you have 1 & 2, you can have 3 different combinations for what I am working on:
1
1+2
2
If you have 1, 2 & 3, you can have 7 different combinations for what I am working on:
1
1+2
1+3
1+2+3
2
2+3
3
If you have 1, 2, 3 & 4, you can have 15 different combinations for what I am working on:
1
1+2
1+3
1+4
1+2+3
1+2+4
1+3+4
1+2+3+4
2
2+3
2+4
2+3+4
3
3+4
4
If you have 1, 2, 3, 4 & 5, you can have 30 different combinations for what I am working on:
1
1+2
1+3
1+4
1+5
1+2+3
1+2+4
1+2+5
1+3+4
1+3+5
1+4+5
1+2+3+4
1+2+3+5
1+3+4+5
1+2+3+4+5
2
2+3
2+4
2+5
2+3+4
2+3+5
2+4+5
2+3+4+5
3
3+4
3+5
3+4+5
4
4+5
5
Maybe I am missing some combinations, but I don't think I am. I cannot for the life of me figure out a method to the growing number? Usually I am good with this, but nothing is jumping out at me. What I am trying to figure out is for 9 sum combinations? Can anyone solve this or is it that I just have to list it out?
Hopefully someone can offer some advice on this?
Thanks,
Rob