PokeBase - Pokemon Q&A

# Disregarding the number of available types, how many different eeveelutions can there possibly be?

What defines an Eeveelution is;
1) A single-typed Pokemon that evolves from Eevee
2) Its base stats follow a distribution of 130-110-95-65-65-60

How many different Eeveelutions can there theoretically be provided that each one had a different distribution of those base stats?

edited
I want to know using the power of math, the least number of eeveelutions there can be if each one had a different arrangement of stats.

#720 actually.
The formula you should be using is this;
nPr, meaning n!/(n-r)!
n represents the amount of values, and r represents the amount of values that you actually take. Since in this case, you have 6 values, but you take all 6. The formula nPr is used when order matters and repetition is not allowed.
What do I mean by order mattering?
If order does not matter the combination [3,23,62] would be the same as [23,3,62]
However when order does matter the combination [3,23,62] would be different from [23,3,62]

So subbing this into the formula
= 6!/(6-6)!
Please note that ! in maths represents "Factorial" - this means you must multiply the number by every single positive integer under it, not including 0 since that technically isn't either positive nor negative e_o
= 720/0! (0! is equal to 1. This is the exception to the explanation I gave above about !)
= 720

Well, Jojo tested this on your calculator and I think we know the source of your problem now
There are two 65s, so the online calculator factors them as "duplicates"

## Extra Stuff

>If you factor in types, allowing dual types, would that restrict the number?
hmmm...
Just wondering
aren't there 18 types...
commented 15 hours ago by Helios_Ex

If we were to take dual types, then the amount of possible eeveelutions that are possible is equivalent to the amount of possible dual types + amount of possible single types.
What is this?
6P2 + 18
= 153 + 18
= 171

So if we were to factor in types, allowing dual types, top of 171 eeveelutions.

Complete and Perfect.  Thank you

This is quite scary. Using http://www.mathsisfun.com/combinatorics/combinations-permutations-calculator.html to work out how many theoretical Eeveelutions there can be through just re-arranging the 130-110-95-65-65-60 stats.

There can be ..................... 360 different Eeveelutions! and they all will still have the 130-110-95-65-65-60 and all with a different distribution of those stats.

GAMEFREAK, you can make Eeveelutions till the year 20XX and they won't share their stats with another.