List questions from inclusion-exclusion

Published on 10 Feb 2018 - 1:40

472

Views

How many trees on $\{1,2,3,4,5,6,7\}$ have a vertex of degree 2?

Published on 10 Feb 2018 - 8:43

69

Views

Trees on $\{1,2,3,4,5,6,7,8\}$ with conditions

Published on 10 Feb 2018 - 16:44

45

Views

Inclusion Exclusion to find multiples

Published on 13 Feb 2018 - 2:44

110

Views

Size of union of sets when intersection is empty

Published on 19 Feb 2018 - 1:18

64

Views

How many solutions to $x + y = z$ for $x,y \in [1,n]$ and $n > 1$ in general, closed form.

Published on 22 Feb 2018 - 5:50

55

Views

Counting the equal-differences of an permutation

Published on 26 Feb 2018 - 3:29

3.1k

Views

Numbers up to 1000 divisible by 2 or 3 and no other prime

Published on 25 Mar 2026 - 1:17

110

Views

Unique pairings with repeated elements

Published on 02 Mar 2018 - 20:55

2k

Views

Find the number of ways when $4A, 1B, 1C, 1D$ is distributed among $4$ students with a few conditions

Published on 04 Mar 2018 - 16:04

223

Views

Suppose that events $A$, $B$ and $C$ satisfy $P(A \cap B \cap C) = 0$ and each of them has probability not smaller than $\frac{2}{3}$. Find $P(A)$.

Published on 05 Mar 2018 - 5:22

52

Views

Derivation of $\frac{1}{{p}_{1}\, {p}_{2}\, \cdots\, {p}_{m}} \prod\limits_{i = 1}^{m} \left({{p}_{i} - 1}\right)$ from reciprocal sum expansion

Published on 05 Mar 2018 - 6:44

1.5k

Views

Difference between membership and inclusion

Published on 05 Mar 2018 - 20:03

490

Views

ternary string using the Inclusion-Exclusion

Published on 06 Mar 2018 - 20:22

588

Views

Number of directed graphs without isolated vertices

Published on 25 Mar 2026 - 2:59

List Question

Inclusion-exclusion, Injections, Surjections

How many trees on $\{1,2,3,4,5,6,7\}$ have a vertex of degree 2?

Trees on $\{1,2,3,4,5,6,7,8\}$ with conditions

Inclusion Exclusion to find multiples

Size of union of sets when intersection is empty

How many solutions to $x + y = z$ for $x,y \in [1,n]$ and $n > 1$ in general, closed form.

Counting the equal-differences of an permutation

Numbers up to 1000 divisible by 2 or 3 and no other prime

Unique pairings with repeated elements

Find the number of ways when $4A, 1B, 1C, 1D$ is distributed among $4$ students with a few conditions

Suppose that events $A$, $B$ and $C$ satisfy $P(A \cap B \cap C) = 0$ and each of them has probability not smaller than $\frac{2}{3}$. Find $P(A)$.

Derivation of $\frac{1}{{p}_{1}\, {p}_{2}\, \cdots\, {p}_{m}} \prod\limits_{i = 1}^{m} \left({{p}_{i} - 1}\right)$ from reciprocal sum expansion

Difference between membership and inclusion

ternary string using the Inclusion-Exclusion

Number of directed graphs without isolated vertices

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