List questions from inclusion-exclusion

Published on 15 Sep 2021 - 15:08

71

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Probability that all $k$ partitions of a set of size $n$ have at least one element

Published on 29 Mar 2026 - 15:54

47

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A binomial sum -- approximation needed

Published on 19 Sep 2021 - 17:17

84

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2 friends shooting

Published on 23 Sep 2021 - 9:41

186

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Difference between P(A)+P(B) and P(A)+P(B) - P(A&B)

Published on 23 Sep 2021 - 10:34

124

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For n $\geq$ k, what is $\sum_{i=1}^n (-1)^i {n \choose i} i^k$?

Published on 02 Apr 2026 - 10:42

504

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Inclusion-Exclusion formula for 3 events problem

Published on 11 Oct 2021 - 12:48

293

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Inclusion-exclusion: Intuition for "exactly $k$ conditions"

Published on 13 Oct 2021 - 15:57

108

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Alternating sum of numbers of surjective functions

Published on 30 Mar 2026 - 1:47

1.2k

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Probability of selecting at least one student from each of the four classes.

Published on 17 Oct 2021 - 13:59

143

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$H(n)=\lfloor\dfrac{b}{n}\rfloor- \lfloor \dfrac{a}{n} \rfloor=$ (roughly) # odd pairs $o, o+2 \in [a,b]$ such that $n \mid o$ or $n \mid o+2$

Published on 26 Mar 2026 - 17:53

2.5k

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Visually explaining this probability union rule

Published on 19 Oct 2021 - 14:11

140

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Formula for the number of pairs of odd numbers $x, x+2k \subset [a,b]$ such that $n \mid x$ or $n \mid x + 2k$? Previous solution was $k = 1$ only.

Published on 31 Mar 2026 - 22:47

62

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Find the probability - group of 3 people know each other

Published on 24 Oct 2021 - 11:07

243

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Number of solutions to $x_1 +x_2 +x_3 +x_4 = 1097$ with multiple "at least" restrictions

Published on 24 Oct 2021 - 21:24

List Question

Adjusting index of summation in binomial theorem

Probability that all $k$ partitions of a set of size $n$ have at least one element

A binomial sum -- approximation needed

2 friends shooting

Difference between P(A)+P(B) and P(A)+P(B) - P(A&B)

For n $\geq$ k, what is $\sum_{i=1}^n (-1)^i {n \choose i} i^k$?

Inclusion-Exclusion formula for 3 events problem

Inclusion-exclusion: Intuition for "exactly $k$ conditions"

Alternating sum of numbers of surjective functions

Probability of selecting at least one student from each of the four classes.

$H(n)=\lfloor\dfrac{b}{n}\rfloor- \lfloor \dfrac{a}{n} \rfloor=$ (roughly) # odd pairs $o, o+2 \in [a,b]$ such that $n \mid o$ or $n \mid o+2$

Visually explaining this probability union rule

Formula for the number of pairs of odd numbers $x, x+2k \subset [a,b]$ such that $n \mid x$ or $n \mid x + 2k$? Previous solution was $k = 1$ only.

Find the probability - group of 3 people know each other

Number of solutions to $x_1 +x_2 +x_3 +x_4 = 1097$ with multiple "at least" restrictions

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