New posts in inclusion-exclusion

What is the cardinality of the union A∪B∪...∪Z?

combinatorics inclusion-exclusion

A general "inclusion-exclusion principle" / Formulas like $\inf(a,b)\sup(a,b)=ab$

reference-request order-theory inclusion-exclusion

Number of functions $f:\{1,...,n\}\to\{1,...,n\}$ that have $|f^{-1}(\{i\})|=i$ for some $i$

combinatorics discrete-mathematics inclusion-exclusion

What is the inclusion-exclusion principle for 4 sets?

combinatorics inclusion-exclusion

Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$

combinatorics binomial-coefficients inclusion-exclusion

Inclusion-exclusion-like fractional sum is positive?

combinatorics algebra-precalculus inequality inclusion-exclusion

Number of colorings using inclusion–exclusion principle

combinatorics inclusion-exclusion

Is the Maclaurin series expansion of $\sin x$ related to the inclusion-exclusion principle?

calculus combinatorics trigonometry taylor-expansion inclusion-exclusion

In how many ways can $1000000$ be expressed as a product of five distinct positive integers?

combinatorics combinations inclusion-exclusion

Combinatorial proof of $\sum_{k=0}^{n}(-1)^{k}\binom{n}{k}(l-k)^n=n!$, using inclusion-exclusion

combinatorics summation binomial-coefficients inclusion-exclusion combinatorial-proofs

Inclusion-Exclusion

inclusion-exclusion

Arrangements of a,a,a,b,b,b,c,c,c in which no three consecutive letters are the same

combinations inclusion-exclusion combinatorics permutations

Why is the Derangement Probability so Close to $\frac{1}{e}$?

combinatorics intuition inclusion-exclusion derangements

How many permutations of $\{1,2,3,...,n\}$ there are with no 2 consecutive numbers?

combinatorics permutations recurrence-relations recursion inclusion-exclusion

Combinatorial argument to prove the recurrence relation for number of derangements

combinatorics recurrence-relations inclusion-exclusion combinatorial-proofs derangements

Number of Derangements of the word BOTTLE

combinatorics combinations inclusion-exclusion extremal-combinatorics derangements

What is the optimal number of dice to roll a Yahtzee in one roll?

probability-theory recreational-mathematics problem-solving dice inclusion-exclusion

In how many ways can we colour $n$ baskets with $r$ colours?

combinatorics elementary-number-theory inclusion-exclusion

Number of surjections from $\{1,...,m\}$ to $\{1,...,n\}$

combinatorics inclusion-exclusion

Generalised inclusion-exclusion principle

combinatorics reference-request inclusion-exclusion