Tag: combinatorics
- Find the number of pairs of two consecutive zeros
- Construct a Steiner system
- General formula for counting ordered sequences with duplicates
- If everyone in the world chooses a random real number between $0$ and $1$ one by one, how many times will a world record for lowest number be set
- If $A\subset \Bbb Z$ with $|A| = n$, then there exists $t\in \Bbb Z\setminus p\Bbb Z$ such that $\phi(at/p) \le p^{-1/n}$ for all $a\in A$.
- Upper bound on least eigenvalue of a graph
- Find the number of subsets of n chairs in a circle containing at least three adjacent chairs
- Distributing keys to professors (Combinatorics)
- Strongly connected? Binary numbers of length n with bounded hamming weight
- Arrangements with 2 restrictions and “at least”