Odredi broj podskupova od
parnog kardinaliteta i kojima je suma djeljiva s
i koji sadrži barem jedan paran broj.
Determine the number of subsets of
that have even cardinality, whose sum is divisible by
, and that contain at least one even number.
[lang=hr]
Odredi broj podskupova od $A = \{1 , 2 , 3 , \dots , 2024 , 2025\}$ parnog kardinaliteta i kojima je suma djeljiva s $5$ i koji sadrži barem jedan paran broj.
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[lang=en]
Determine the number of subsets of
\[
A = \{1,2,3,\dots,2024,2025\}
\]
that have even cardinality, whose sum is divisible by \(5\), and that contain at least one even number.
[/lang]
