Home > Just Math
Getting Maps In 2080 (Posted on 20070817) 

Let S = {1; 2; 3; 4; 5; 6; 7}
Analytically determine the number of maps f from S to S such that
f^{2080}(x) = x for every x belonging to S.
Note: The iteration is denoted by the superscript, such that
f^{1}(x) = f(x) and f^{n}(x) = f(f^{n1}(x))
for all n > 1.
Comments: (
You must be logged in to post comments.)


Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ 
About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
