New posts in combinatorics

coloring a $4\times 4$ square with $4$ colors

Is $K_6$ a minor of $K_{2,2,2,2,2}$

$ \sum_{x=1}^n {{n-1} \choose {x-1}} {N \choose x} = {{N+n-1}\choose n}$ [duplicate]

Probability of drawing a run of a specific color from an urn with two colors of balls

Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?

What is the proof of the "thin set theorem"? A result in infinite Ramsey theory.

"8 Dice arranged as a Cube" Face-Sum Equals 14 Problem

Can this product be written so that symmetry is manifest?

Series of iterates of a power series

A man invited five friends.

What is the winning strategy for this Game on the Power Set

Formula for the number of latin squares of size $n$?

Binomial coefficient and fibonacci numbers

Count of near matching sequences

When is a Sudoku like table solvable

Find a combinatorial proof to 10!=7!6!

Number of directional orders for $n$ points in $\mathbb{R}^d$?

Soccer penalty shots

In how many ways can four prizes be distributed to three persons if every person receives at least one prize?

Generating function and integer sequence that arise from this function