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New posts in inclusion-exclusion
Combinatorics meaning of $L_m=\sum_{j=m}^{n}(-1)^{j-m}\binom{j-1}{m-1}S_j$
combinatorics
inclusion-exclusion
combinatorial-proofs
Relation between inclusion-exclusion principle and maximum-minimums identity
combinatorics
inclusion-exclusion
How many $5$-digit numbers are there, so that $0,1$ and $2$ are NOT included, $3,4$ and $5$ have to be included
combinatorics
discrete-mathematics
inclusion-exclusion
How many solutions does the equation $\sum_{i=1}^{k}{x_i}=c$ have, given that the $x_i\in\mathbb{Z}$ and $0\leq x_i\leq d$?
combinatorics
discrete-mathematics
permutations
combinations
inclusion-exclusion
Stirling numbers combinatorial proof
combinatorics
discrete-mathematics
inclusion-exclusion
combinatorial-proofs
stirling-numbers
Find the number of $n$ husband's placing
combinatorics
inclusion-exclusion
Which jigsaw pieces fit to make a create a square?
recreational-mathematics
puzzle
inclusion-exclusion
Infinite Inclusion and Exclusion in Probability
probability-theory
inclusion-exclusion
How many bit strings of length 8 start with "1" or end with "01"?
combinatorics
discrete-mathematics
computer-science
inclusion-exclusion
bit-strings
Are the error terms of the partial sums of inclusion-exclusion unimodal?
combinatorics
elementary-set-theory
inclusion-exclusion
Coupon Collector Prob Variation
probability
inclusion-exclusion
coupon-collector
Find the number of ways so that each boy is adjacent to at most one girl.
combinatorics
permutations
combinations
inclusion-exclusion
combinatorial answer using inclusion exclusion principles
combinatorics
discrete-mathematics
proof-verification
inclusion-exclusion
Intuition behind the coupon collector problem. Is there inclusion-exclusion principle in play?
probability
combinatorics
expected-value
inclusion-exclusion
coupon-collector
An application of the Inclusion Principle to Chemistry? (Proof Verification)
combinatorics
proof-verification
inclusion-exclusion
chemistry
$H(n)=\lfloor\dfrac{b}{n}\rfloor- \lfloor \dfrac{a}{n} \rfloor=$ (roughly) # odd pairs $o, o+2 \in [a,b]$ such that $n \mid o$ or $n \mid o+2$
elementary-number-theory
prime-numbers
inclusion-exclusion
natural-numbers
prime-twins
Edge percolation on $\mathbb{Z}^2$: probability that two neighbouring vertices are connected?
probability
connectedness
inclusion-exclusion
percolation
Determine the number of positive integer x where $x\leq 9,999,999$ and the sum of the digits in x equals 31.
combinatorics
discrete-mathematics
combinations
inclusion-exclusion
Prove $\sum_{k = 0}^{n}(-1)^{n - k} \binom{n}{k} \cdot k^n = n!$ and $\sum_{k = 0}^{n}(-1)^{n - k} \binom{n}{k} \cdot k^m = 0$
combinatorics
summation
binomial-coefficients
inclusion-exclusion
How do I prove this combinatorial identity using inclusion and exclusion principle?
combinatorics
discrete-mathematics
summation
binomial-coefficients
inclusion-exclusion
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