[Math; Statistics] - Computing the number of possible combinations

[indomitable1319]

Alright, I have a really big problem.
I need to know how many possible combinations there are between the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The combinations should be in 5; and cannot repeat.
Examples:
1 2 3 4 5
1 2 3 4 6
1 2 3 4 7
1 2 3 4 8
1 2 3 4 9
1 2 3 4 10
1 2 3 5 6
1 2 3 5 7
1 2 3 5 8

That's my problem. Well, I hope someone can answer this. Thank you for reading.

 

[Maker]

I believe it is:
10!/(5!(10-5)!)

 

[indomitable1319]

10 factorial divided by the quantity 5 factorial times the quantity 10 minus 5 quantity factorial?
I'll try that...
And that's 252.
Now, I have to incorporate it into my spell, Bad Breath.
Could you help me? Because I'm making it a percentage, and I have no idea how I'm going to do this.

[EDIT]
Alright, nevermind. I suck at this. Nevermind. Don't help anymore, I'll find a way.

 

[Maker]

Yeah, it is 252. Let me know if you still need help at some point.

 

[HINDYhat]

Maker is correct.

 

[fladdermasken]

HINDYhat is correct.

 

[defskull]

fladdermasken is correct. (LoL I like chain-related things)

 

[Zarathustra]

Defskull is correct if and only if fladdermasken is incorrect.

 

[defskull]

A equal to B
C equal to A
C equal to B

Basic concept of arguments.

 

[PurplePoot]

Maker is correct, although a better answer would be writing it as the choose function--(10 choose 5)--just so that it's more clear what you're doing.

http://en.wikipedia.org/wiki/Binomial_coefficient

Basically (10 choose 5) means the number of ways to choose 5 elements from 10 distinct elements.