New posts in combinatorics

Number of triangles formed by $m$ lines

Placing $9$ black and $9$ white rooks on $ 6\times6$ board without any attacks between different colours

Any $B \subset \{10,11,...,99\}$, with $|B| =10$ has two subsets such that $\sum_{a \in B_1} a = \sum_{b \in B_2} b$

Generating function for gamma function (or factorial)

Which concept is more general, Cartesian Product or Rule of Product or Direct Product?

Fibonacci numbers divisible by $9$

1965 Putnam, B2

Prove that the intersection of all the sets is nonempty.

Graph with even vertices and ${n-1}\choose 2$ $+ 1$ edges has a perfect matching

Properties of sequence

How to prove Euler's pentagonal theorem? Some hints will help

How to simplify complicated Recursion.

Scheduling a team based activity with 10 different teams and X different games. Every team must meet each other ONCE but never twice,

number of binary solutions under linear restrictions

How to solve second degree recurrence relation?

Number of divisors of the form $(4n+1)$

How many bit strings of length 8 start with "1" or end with "01"?

Calculating the probability of combinations with unequal probabilities for each element

How many group combinations of 3 can I make of 6 people?

Are the error terms of the partial sums of inclusion-exclusion unimodal?