<we><edit> <!-- questions and answers -->
normal-distribution
probability-distributions
lebesgue-integral
combinations
euclidean-geometry
algebra-precalculus
matrices
exponential-function
complex-numbers
summation
permutations
group-theory
operator-theory
set-theory
number-theory
geometry
power-series
polynomials
convex-analysis
manifolds
algebraic-geometry
proof-verification
taylor-expansion
hilbert-spaces
definite-integrals
combinatorics
What is the largest planar clique in n-dimensions?
combinatorics
graph-theory
Hilbert scheme of $n$ point action, torus action fixed points
abstract-algebra
combinatorics
monomial-ideals
Residues of a function with two different essential singularities
combinatorics
complex-analysis
How many ways in total that $10$ people can enter the room?
combinatorics
permutations
Combinatorics question - Parking Cars
combinatorics
discrete-mathematics
In how many ways can a test be passed with just $10$ right answers if at least $4$ right answers must be from part A of the test?
combinatorics
discrete-mathematics
Trouble interpreting a generating function equation
combinatorics
generating-functions
symmetric-polynomials
bernoulli-numbers
symmetric-functions
In how many combination can I deal 6 cards with only 2 numbers on them
combinatorics
Example of a symmetric BBID that is not isomorphic to its dual
combinatorics
discrete-mathematics
graph-isomorphism
combinatorial-designs
block-design
Integer solutions with subtraction
combinatorics
discrete-mathematics
integers
Attempting a combinations question using permutations.
combinatorics
permutations
combinations
closure and circuit of a matroid
combinatorics
definition
matroids
Find recurrence relation for two different signals
combinatorics
discrete-mathematics
recurrence-relations
Combinatorics question, combinations involved in filling up of vacancies.
combinatorics
permutations
combinations
Number of snake configurations in simple snake game
combinatorics
Show that $\binom{n}{1} + 6\binom{n}{2} + 6\binom{n}{3} = n^3$
combinatorics
Calculate $(-1)^k \left(\begin{matrix} -1/2 \\ k\end{matrix}\right)$. Is it equal to $\frac {(2k)!}{2^{2k}(k!)^2}$?
combinatorics
binomial-coefficients
gamma-function
binomial-theorem
In how many ways can $3$ red, $3$ blue, and $3$ green balls be arranged so that no two balls of the same colour are consecutive (up to symmetry)?
combinatorics
Exponential Generating Function for the number of sequences in A,B,C
combinatorics
permutations
generating-functions
Union of pairwise almost disjoint sets
combinatorics
Prove that $\sum_{i=0}^d {n\choose i}\leq n^d +1$
real-analysis
combinatorics
number-theory
analysis
induction
In how many ways can 10 students be grouped into 2 groups?
combinatorics
combinations
Distribution of the Number of Distinct Items in a Sequence of Independent Random Variables
probability
combinatorics
probability-theory
discrete-mathematics
probability-distributions
Arithmetic error in Feller's Introduction to Probability?
probability
combinatorics
Number of teams
combinatorics
binomial-coefficients
combinations
Optimal Matching Distance
linear-algebra
combinatorics
matrices
optimization
matching-theory
In how many ways can a, b, c, d be formed based on the rule in this problem?
combinatorics
inequality
Cauchy's one-line notation for sum over ordered permutations.
combinatorics
summation
notation
permutations
Question regarding the Sauer Lemma?
combinatorics
machine-learning
extremal-combinatorics
Given an alphabet with three letters a, b, c. Find the number of words of n letters which contain an even number of a's.
combinatorics
Pigeon Hole Principle: 10 balls are partitioned to 5 people, someone has sum over 11
combinatorics
discrete-mathematics
pigeonhole-principle
Area of occluded carpets
combinatorics
pigeonhole-principle
Partition a square into sub-rectangles with restrictions
combinatorics
computer-science
Why are urns so common in combinatorics questions?
combinatorics
statistics
terminology
polya-urn-model
What does 2 to the power x mean in set theory
combinatorics
elementary-set-theory
notation
matching-theory
How can I prove, that this formula is related to the binomial series?
combinatorics
summation
binomial-coefficients
Difference between these combinatorics questions?
combinatorics
combinations
How can we simplify this sum over sets expression?
combinatorics
elementary-number-theory
summation
arithmetic
1 - Combinatorics - High School Level Olympiad Problem
combinatorics
Combinations for 6-card pattern from 4-deck cards
combinatorics
How to calculate the probability of $3$ heads out of $10$ coins IF each coin has a different probability for head
probability
combinatorics
Finding circles on lattice points with arbitrary origin.
combinatorics
number-theory
circle
integer-lattices
Ways in which number of flags can be generated.
combinatorics
permutations
Substring repetitions in integer coloring
combinatorics
coloring
ramsey-theory
Vice-versa Erdos conjecture
combinatorics
number-theory
cellular-automata
$0$ interior to the convex hull of rational vectors
combinatorics
convex-analysis
combinatorial-geometry
convex-geometry
convex-hulls
Direct formula to calculate the sum.
combinatorics
permutations
Bijection between perfect matchings permutations with even cycles
combinatorics
combinatorial-proofs
combinatorial-species
What is wrong with this counting approach?
combinatorics
Identifying distinct colored cubes from faces of $2 \times 2 \times 2$ arrangement
combinatorics
discrete-mathematics
recreational-mathematics
Suit a problem to the equation $\sum_{i=0}^{n} (-1)^{i} {n \choose i} = 0$
combinatorics
Probability of an element to appear in a different set after permutation.
probability
combinatorics
Counting all $9 \times 8$ matrices with two restrictions (checking if I'm right)
combinatorics
discrete-mathematics
proof-verification
Counting number of paths on a triangular lattice
probability
combinatorics
random-walk
Finding values of a binary operation defined on N.
combinatorics
elementary-number-theory
How many pizzas possible?
combinatorics
combinations
Ternary String Bayes Rule
combinatorics
bayes-theorem
What is maximum probability of getting some set inside a Generalized Arithmetic Progression?
probability
combinatorics
number-theory
additive-combinatorics
What is the probability of getting at least one pair in Poker?
probability
combinatorics
In how many ways can $7$ white-suited and $5$ black-suited people be seated at a round table if none of the black-suited people are adjacent?
combinatorics
permutations
How many different rows can we make?
combinatorics
permutations
Characteristic polynomial of a classical arrangement of hyperplanes.
combinatorics
algebraic-topology
root-systems
What is the number of ways to distribute 14 identical balls in 3 numbered boxes, given that there has to be 8 balls in at least one of the boxes?
combinatorics
discrete-mathematics
Different approach to classic pigeonhole principle problem yields different results. Why?
combinatorics
discrete-mathematics
pigeonhole-principle
What is the number of ways to divide a rectangle into $n$ smaller rectangles line by line?
combinatorics
John's Circular Table (Combinatorics)
probability
combinatorics
How to find the number of permutations of the letters of the word MATHEMATICS that begin with a consonant
combinatorics
permutations
How many permutations are there of the letters in word: Statistics?, with restriction.
combinatorics
permutations
How many different sets of tickets are there?
combinatorics
combinations
Why ${n \choose k} = {n \choose n-k}$?
combinatorics
intuition
Colouring A Cube
combinatorics
coloring
algebraic-graph-theory
Graph Colouring
combinatorics
coloring
algebraic-graph-theory
Probability Problem with $10$ players being put on two teams
probability
combinatorics
If I pull red and blue balls from a bag and place them in order, what is the expected greatest distance between two red balls?
probability
combinatorics
Range numbers combination count.
combinatorics
In how many ways can $4$ of $100$ people sitting at a circular table be selected so that no two of them are adjacent?
combinatorics
inclusion-exclusion
Find s, which solves inequality
combinatorics
inequality
Derive formula for number of tilings of an $m \times n$ board.
combinatorics
matrices
recreational-mathematics
tiling
Birthday Problem counting principles
combinatorics
combinations
Reference for combinatorial game theory.
combinatorics
reference-request
contest-math
combinatorial-game-theory
Generating fuctions: $\sum_{k=0}^\infty \binom{2k}{k}\binom{n}{k}\left(-\frac{1}{4}\right)^k=2^{-2n}\binom{2n}{n}$
combinatorics
generating-functions
Proof of $\sum_{k=1}^n \binom{n}{k} \binom{n}{n+1-k} = \binom{2n}{n+1}$ via induction
combinatorics
summation
induction
binomial-coefficients
Problem Evaluating a Combinatorics Problem - answer not matching the book
probability
combinatorics
Expected value of exactly one ball in n balls in n boxes
probability
combinatorics
Is there a closed-form expression for Shapley value of glove game?
combinatorics
game-theory
closed-form
Counting Multi-Sets for Donuts
combinatorics
combinations
How many different 4x4 windows can you create if you only have two colors?
combinatorics
group-theory
group-actions
number of acyclic graphs on $n$ vertices having $n-m$ edges
combinatorics
graph-theory
Recurrences which involve polynomials with discriminant $d=11,19,43,67,163$
sequences-and-series
combinatorics
graph-theory
recurrence-relations
cubic-equations
Good Combinatorics book
combinatorics
reference-request
book-recommendation
Find the joint probability function of $Y_{1}$ and $Y_{2}$
probability
combinatorics
How to determine the size of the complete game tree for basic [M]?
combinatorics
general-topology
symmetry
combinatorial-game-theory
sudoku
Evaluate the sum $\sum_{k=1}^n {n \choose k-1} {n \choose k}$
combinatorics
summation
binomial-coefficients
Number of ways of seating boys and girls around a table such that two particular boys always sit together and no two girls sit together
combinatorics
Calculate unique combinations for unique guests per table contraint
combinatorics
combinations
extremal-combinatorics
combinatorial-designs
block-design
Ordinary Generating functions that occurs at most 3 times
combinatorics
generating-functions
Inclusion Exclusion Principle Example
probability
combinatorics
permutations
combinations
inclusion-exclusion
Calculating the number of ways a surjective function can be defined.
combinatorics
functions
inclusion-exclusion
A simple counting problem
combinatorics
Probability question - rolling dice
probability
combinatorics
dice