Combinatorics › Sets and Venn diagrams › Counting relations and functions

Subsets contained in neither of two sets

High school · ●●○○○ 20 pts

Find the number of subsets of {1,2,3,4,5,6,7,8}\{1, 2, 3, 4, 5, 6, 7, 8\} that are subsets of neither {1,2,3,4,5}\{1, 2, 3, 4, 5\} nor {4,5,6,7,8}\{4, 5, 6, 7, 8\}.

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inclusion-exclusioncounting subsetscomplementary counting