What is the formula to calculate the number of combinations of size x 
[no repeats] that exist in a set of size y?

I.E.
Set Y : 1,2,3,4,5 = 10 unique combinations of 3 [1,2,3 1,2,4 ... 3,4,5]
Set Y : 1,2,3,4,5,6 = 20 unique combinations of 3 [1,2,3 1,2,4 ... 4,5,6]
Set Y : 1,2,3,4,5,6 = 15 unique combinations of 4 [1,2,3,4 1,2,3,5 ... 
3,4,5,6]

I can figure these out by brute force looping but it would be nice if I 
could do this with a straight forward formula in my CFML.  But (a) I can 
not recall the formula and (b) I am not sure if I can express the 
formula in ColdFusion.



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