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How to find that how many one-one function made from a relation?

let's say S {1,2,3} is a function to P(s) where P(s) is the number of subset of S and reation is S to P(s) then how many one-one function will be made
let's make it simple
B{a,b,c}=range then number of one-one function will be? and also tell me how to calculate it?


According to the permutation theory 1 x 2 x*3=6 functions which are one to one possible. 
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