Question

Number of one to one functions from the set {1, 2, . . . , n} to {1, 2, . . . , n} so that f(x) = x for some x and f(x) $\neq$ x for all the other x?

score 528 · Answer 1 · 2019-05-01 22:06:53

528

Views

Number of one to one functions from the set {1, 2, . . . , n} to {1, 2, . . . , n} so that f(x) = x for some x and f(x) $\neq$ x for all the other x?

Published on 01 May 2019 - 22:06

score 288 · Answer 2 · 2026-03-25 23:51:33

288

Views

Bijection between "circularly nonconsecutive" permutations and permutations with one fixed point

Published on 25 Mar 2026 - 23:51

score 92 · Answer 3 · 2019-05-02 20:25:33

92

Views

Counting Surjections - Combinatorics

Published on 02 May 2019 - 20:25

score 81 · Answer 4 · 2019-05-03 19:32:32

81

Views

Number of surjective functions where $f(a) = b$

Published on 03 May 2019 - 19:32

score 108 · Answer 5 · 2019-05-04 06:31:25

108

Views

Inclusion Exclusion Application

Published on 04 May 2019 - 6:31

score 120 · Answer 6 · 2019-05-07 11:36:59

120

Views

How to apply inclusion - exclusion principle

Published on 07 May 2019 - 11:36

score 65 · Answer 7 · 2019-05-11 06:50:24

65

Views

Given an infinite set of events, prove that the probability of an event is smaller than $1$

Published on 11 May 2019 - 6:50

score 271 · Answer 8 · 2026-03-26 12:34:48

271

Views

Proving that the intersection of closed convex sets is nonempty

Published on 26 Mar 2026 - 12:34

score 45 · Answer 9 · 2019-05-20 03:41:49

45

Views

Inclusion-Exclusion Principle for "ONLY" case.

Published on 20 May 2019 - 3:41

score 72 · Answer 10 · 2019-05-21 16:05:50

72

Views

Inclusion-exclusion Principle for three different sets

Published on 21 May 2019 - 16:05

score 101 · Answer 11 · 2019-05-21 18:38:24

101

Views

Inclusion Exclusion Problem: $x_1 + x_2 + x_3 = 17$ subject to the restrictions that $x_i \leq 7$, $1 \leq i \leq 3$

Published on 21 May 2019 - 18:38

score 4.3k · Answer 12 · 2019-05-22 15:32:32

4.3k

Views

What is the Inclusion-Exclusion Principle for five sets?

Published on 22 May 2019 - 15:32

score 145 · Answer 13 · 2019-05-23 04:09:12

145

Views

Proof of $A_3(n)$ in Stanley's Enumerative Combinatorics Exercise 14, Chapter 2

Published on 23 May 2019 - 4:09

score 51 · Answer 14 · 2019-05-24 00:33:20

51

Views

Principle of inclusion exclusion

Published on 24 May 2019 - 0:33

score 461 · Answer 15 · 2019-05-24 03:40:01

461

Views

Inclusion-exclusion with anagrams

Published on 24 May 2019 - 3:40

List Question

Number of one to one functions from the set {1, 2, . . . , n} to {1, 2, . . . , n} so that f(x) = x for some x and f(x) $\neq$ x for all the other x?

Bijection between "circularly nonconsecutive" permutations and permutations with one fixed point

Counting Surjections - Combinatorics

Number of surjective functions where $f(a) = b$

Inclusion Exclusion Application

How to apply inclusion - exclusion principle

Given an infinite set of events, prove that the probability of an event is smaller than $1$

Proving that the intersection of closed convex sets is nonempty

Inclusion-Exclusion Principle for "ONLY" case.

Inclusion-exclusion Principle for three different sets

Inclusion Exclusion Problem: $x_1 + x_2 + x_3 = 17$ subject to the restrictions that $x_i \leq 7$, $1 \leq i \leq 3$

What is the Inclusion-Exclusion Principle for five sets?

Proof of $A_3(n)$ in Stanley's Enumerative Combinatorics Exercise 14, Chapter 2

Principle of inclusion exclusion

Inclusion-exclusion with anagrams

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