2006 Romanian NMO Problems/Grade 10/Problem 1: Difference between revisions
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==See | ==See Also== | ||
*[[2006 Romanian NMO Problems/Grade 9/Problem 1 | Previous problem]] | *[[2006 Romanian NMO Problems/Grade 9/Problem 1 | Previous problem]] | ||
*[[2006 Romanian NMO Problems/Grade 9/Problem 3 | Next problem]] | *[[2006 Romanian NMO Problems/Grade 9/Problem 3 | Next problem]] | ||
*[[2006 Romanian NMO Problems]] | *[[2006 Romanian NMO Problems]] | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 14:03, 7 May 2012
Problem
Let 
be a set composed of 
elements and let 
be its power set. Find all functions 
that have the properties
(a) 
, for 
;
(b) 
, for all 
, where 
.
Solution
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