New posts in combinatorics

How much space do I need to sort my socks?

Students who see ears of another student

combinatorics - take all the balls out of a basket so that number of the balls from each color be always unequal.

Finding the sum $\sum_{k=1}^rk^2\binom {n-k}{r-k}$

How many different figures can be formed with a regular polygon of $n$ vertices and a number $d$ of diagonals of this polygon?

Pouring water from bottles

Staver's identity relating $\sum_{k=1}^{n}\binom{2k}{k}\frac{1}{k}$ and $\sum_{k=1}^{n}\left(k\binom{n}{k}\right)^{-2}$

On a combinatorial identity involving elementary symmetric polynomials

Two Steps away from the Hamilton Cycle

Alternative Notation for Binomial Coefficient

Dimension of the poset $(\mathbb{R}^2,\ge)$

Number of elements of $3n$ binary tuples, where the ordinates add up to $2n$.

Is it possible to shuffle a 3x3 Rubik's cube so that there's no more than 2 pieces of the same color in every face?

Alternative proof of an intereting identity of Catalan's Numbers and central binomial coefficients

Number of ways to arrange objects in a circle, some of which may be identical

How many ways to colour a $4 \times 4$ grid using four colours subject to three constraints

Numbers satisfying $\binom{n}{k} = m!$

Probability $k$ bins are non-empty

Why is Erdős–Szekeres theorem sharp?

How many permutations of a multiset have a run of length k?