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How to extend the Inclusion Exclusion Principle to an XOR situation

score 1k · Answer 1 · 2015-02-18 19:30:32

1k

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How to extend the Inclusion Exclusion Principle to an XOR situation

Published on 18 Feb 2015 - 19:30

score 543 · Answer 2 · 2015-02-23 22:05:56

543

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Non-negative integer solutions given restrictions on $x_i$ (check work)

Published on 23 Feb 2015 - 22:05

score 262 · Answer 3 · 2015-02-24 23:46:38

262

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Ways to distribute candies using inclusion/exclusion

Published on 24 Feb 2015 - 23:46

score 883 · Answer 4 · 2015-03-01 20:12:37

883

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There are 5 students. Must form 3 teams and every team must have 2 students in common.

Published on 01 Mar 2015 - 20:12

score 90 · Answer 5 · 2015-03-11 16:18:40

90

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Question about probability theory inclusion/exclusion

Published on 11 Mar 2015 - 16:18

score 1.1k · Answer 6 · 2015-03-14 15:40:05

1.1k

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number of pairs formed from $2n$ people sitting in a circle

Published on 14 Mar 2015 - 15:40

score 76 · Answer 7 · 2015-03-22 11:51:43

76

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3 types of non-infinite coupons in urn with halting, no replacement

Published on 22 Mar 2015 - 11:51

score 1.3k · Answer 8 · 2015-03-23 06:48:31

Determine the number of ways for n couples to stand in a line so that no one stands beside his or partner (explanation for the answer)

score 280 · Answer 9 · 2026-03-27 04:24:23

280

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Inclusion-Exclusion question

Published on 27 Mar 2026 - 4:24

score 1.8k · Answer 10 · 2015-04-07 02:43:57

1.8k

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Summation with Multiple Indices

Published on 07 Apr 2015 - 2:43

score 150 · Answer 11 · 2015-04-09 15:10:35

150

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Probability of placement in a random ordering of integers (inclusion-exclusion rule)

Published on 09 Apr 2015 - 15:10

score 120 · Answer 12 · 2015-04-13 20:20:19

120

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Inviting 4 friends out of 8 for a week such that each friend visits at least once

Published on 13 Apr 2015 - 20:20

score 1.5k · Answer 13 · 2026-03-28 20:08:15

1.5k

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Proving $\binom {n-1}{r-1}=\sum_{k=0}^r(-1)^k\binom r k \binom{n+r-k-1}{r-k-1}$

Published on 28 Mar 2026 - 20:08

score 223 · Answer 14 · 2015-04-15 16:36:32

223

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Number of permutations of $A=\{1,2,3,\dots,n\}$ such that $|x_i-x_j|\ne|i-j|$ of every $i,j\in A$

Published on 15 Apr 2015 - 16:36

score 732 · Answer 15 · 2015-04-20 12:52:23

732

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Prove the inclusion-exclusion formula

Published on 20 Apr 2015 - 12:52

List Question

How to extend the Inclusion Exclusion Principle to an XOR situation

Non-negative integer solutions given restrictions on $x_i$ (check work)

Ways to distribute candies using inclusion/exclusion

There are 5 students. Must form 3 teams and every team must have 2 students in common.

Question about probability theory inclusion/exclusion

number of pairs formed from $2n$ people sitting in a circle

3 types of non-infinite coupons in urn with halting, no replacement

Determine the number of ways for n couples to stand in a line so that no one stands beside his or partner (explanation for the answer)

Inclusion-Exclusion question

Summation with Multiple Indices

Probability of placement in a random ordering of integers (inclusion-exclusion rule)

Inviting 4 friends out of 8 for a week such that each friend visits at least once

Proving $\binom {n-1}{r-1}=\sum_{k=0}^r(-1)^k\binom r k \binom{n+r-k-1}{r-k-1}$

Number of permutations of $A=\{1,2,3,\dots,n\}$ such that $|x_i-x_j|\ne|i-j|$ of every $i,j\in A$

Prove the inclusion-exclusion formula

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