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Family of sets with $|F_i| \equiv 2\pmod 3$ and $|F_i \cap F_j| \equiv 0 \pmod 3$
linear-algebra
combinatorics
finite-fields
extremal-combinatorics
algebraic-combinatorics
Number of Derangements of the word BOTTLE
combinatorics
combinations
inclusion-exclusion
extremal-combinatorics
derangements
Number of subsets of the same size and pairwise intersecting in at most one point
combinatorics
extremal-combinatorics
How to prove that $|\mathcal{F}|\leq 2^{n-1}$?
combinatorics
extremal-combinatorics
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