LetX={0,1,2}, and consider the collection of functionsf:X→Xsuch thatfis invertible. How many functions are there such that (f◦f)(x) =x, foreveryx∈X?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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LetX={0,1,2}, and consider the collection of functionsf:X→Xsuch thatfis invertible. How many functions are there such that (f◦f)(x) =x, foreveryx∈X?

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Step 1

The objective is to find the number of functions f: X→X such that 

ffx=x xX; where X=0,1,2

 

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