Factorials

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


No, I'm not shocked. !, or factorials, have to do with math. This symbol is very useful in probability. Suppose I gave you 3 different tokens. One has an "R" on it, one has a "B" on it, and the last one has a "G" on it. How many unique combinations can you make with these tokens?

RBG
RGB
BRG
BGR
GRB
GBR

I just made 6 unique combinations. That means that 3! is equal to 6.
Now, suppose I gave you 4 different tokens. One has an "R" on it, one has a "B" on it, one has a "G" on it, and one has "V" on it. How many unique combinations can you make with these tokens?

RBGV
RBVG
RGVB
RGBV
RVBG
RVGB
BRGV
BRVG
BGRV
BGVR
BVRG
BVGR
GBRV
GBVR
GRBV
GRVB
GVRB
GVBR
VBGR
VBRG
VGBR
VGRB
VRBG
VRGB

I just made 24 unique combinations. That means that 4! is equal to 24.
Factorials are useful, but it is tiring to do this process. The quickest way to do this is to multiply all integers before it. If you have 4!, you should do 4*3*2*1. If you have 5!, do 5*4*3*2*1 which is 120.
0! is 1. Let's say you have 2 different tokens. how many unique combinations can you make? You can make two. If you have 1 token, you can make one combination. If you have no tokens, you can make one combination where you do nothing on nothing. 0! is more philosophical than it is mathematical.

By the way...
No, I'm not shocked! 
!, or factorials, have to do with math!

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