Question

For a matrix $A$ find the smallest positive $n$ for which $A^n=I$

score 59 · Answer 1 · 2018-10-13 10:20:59

59

Views

For a matrix $A$ find the smallest positive $n$ for which $A^n=I$

Published on 13 Oct 2018 - 10:20

score 3.1k · Answer 2 · 2018-10-13 12:07:01

3.1k

Views

How many 4-letter words can be formed by the word mississippi so we have letter i in all arrangements

Published on 13 Oct 2018 - 12:07

score 114 · Answer 3 · 2018-10-13 13:47:01

114

Views

How many permutations are possible of $n_1$ a's, $n_2$ b's, and $n_3$ c's, such that no two a's and no two b's are adjacent?

Published on 13 Oct 2018 - 13:47

score 97 · Answer 4 · 2018-10-13 22:35:13

97

Views

Is this definition equivalent to the definition of permutation of sequence given in the text. Justify your answer?

Published on 13 Oct 2018 - 22:35

score 403 · Answer 5 · 2018-10-14 08:41:55

403

Views

Number of possible permutations of three pairs of socks, one blue, one black, and one white?

Published on 14 Oct 2018 - 8:41

score 71 · Answer 6 · 2026-03-25 04:43:05

71

Views

Relationship between order of $(x,y)$ in $G \times G'$ and order of disjoint permutations, which both involve LCMs?

Published on 25 Mar 2026 - 4:43

score 179 · Answer 7 · 2026-03-21 16:28:41

179

Views

What is the definition of the least common multiple of elements of a group rather than their orders?

Published on 21 Mar 2026 - 16:28

score 302 · Answer 8 · 2018-10-14 13:27:58

302

Views

Points table in a tournament

Published on 14 Oct 2018 - 13:27

score 1.7k · Answer 9 · 2026-03-28 12:33:35

1.7k

Views

how to make pairs from odd number of people one may be alone?

Published on 28 Mar 2026 - 12:33

score 92 · Answer 10 · 2026-03-25 06:22:12

92

Views

8-element permutations of a multiset {3:0,1:1,1:3,1:5,1:8,1:9} with the restriction 0 is not allowed in left or rightmost position

Published on 25 Mar 2026 - 6:22

score 21 · Answer 11 · 2018-10-14 19:32:33

21

Views

Combinatory Problem, all the different ways to do this combinatory problem

Published on 14 Oct 2018 - 19:32

score 927 · Answer 12 · 2026-03-25 04:41:36

927

Views

Elements of $S_n$ can be written as a product of $k$-cycles.

Published on 25 Mar 2026 - 4:41

score 153 · Answer 13 · 2026-03-25 11:13:19

153

Views

Quantity of same numbers in same positions of permutations and its resort

Published on 25 Mar 2026 - 11:13

score 688 · Answer 14 · 2018-10-15 10:53:34

688

Views

Probability that 3 vertices of a 2n+1 sided polygon chosen at random form vertices of an isosceles triangle

Published on 15 Oct 2018 - 10:53

score 94 · Answer 15 · 2026-03-25 23:42:29

94

Views

Show that if $n\geq5$, then every element of $S_n$ is a product of 4-cycles.

Published on 25 Mar 2026 - 23:42

List Question

For a matrix $A$ find the smallest positive $n$ for which $A^n=I$

How many 4-letter words can be formed by the word mississippi so we have letter i in all arrangements

How many permutations are possible of $n_1$ a's, $n_2$ b's, and $n_3$ c's, such that no two a's and no two b's are adjacent?

Is this definition equivalent to the definition of permutation of sequence given in the text. Justify your answer?

Number of possible permutations of three pairs of socks, one blue, one black, and one white?

Relationship between order of $(x,y)$ in $G \times G'$ and order of disjoint permutations, which both involve LCMs?

What is the definition of the least common multiple of elements of a group rather than their orders?

Points table in a tournament

how to make pairs from odd number of people one may be alone?

8-element permutations of a multiset {3:0,1:1,1:3,1:5,1:8,1:9} with the restriction 0 is not allowed in left or rightmost position

Combinatory Problem, all the different ways to do this combinatory problem

Elements of $S_n$ can be written as a product of $k$-cycles.

Quantity of same numbers in same positions of permutations and its resort

Probability that 3 vertices of a 2n+1 sided polygon chosen at random form vertices of an isosceles triangle

Show that if $n\geq5$, then every element of $S_n$ is a product of 4-cycles.

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