Question

How many 2x2 matrices with module 27 inputs exist with the condition being invertible?

score 281 · Answer 1 · 2026-04-15 02:59:38

281

Views

How many 2x2 matrices with module 27 inputs exist with the condition being invertible?

Published on 15 Apr 2026 - 2:59

score 139 · Answer 2 · 2026-04-15 02:36:37

139

Views

Sum of harmonic number divided by k

Published on 15 Apr 2026 - 2:36

score 871 · Answer 3 · 2026-04-14 10:42:13

871

Views

Probability of having a $4$-digit PIN number with strictly increasing digits

Published on 14 Apr 2026 - 10:42

score 75 · Answer 4 · 2026-04-13 07:23:52

75

Views

Combinatorics question involving assigning students from high schools to colleges

Published on 13 Apr 2026 - 7:23

score 85 · Answer 5 · 2026-04-15 08:12:01

85

Views

Number repositioning

Published on 15 Apr 2026 - 8:12

score 914 · Answer 6 · 2026-04-15 01:16:07

914

Views

Figuring out how many ways 5 marbles can be drawn (combination/permutation problem)

Published on 15 Apr 2026 - 1:16

score 125 · Answer 7 · 2026-04-14 18:30:34

125

Views

How many solutions are there to the equation $x_1+x_2+x_3+x_4+x_5=30$ with restrictions using generating functions?

Published on 14 Apr 2026 - 18:30

score 73 · Answer 8 · 2026-04-13 16:25:14

73

Views

Minimal vertex cover

Published on 13 Apr 2026 - 16:25

score 406 · Answer 9 · 2026-04-16 03:15:37

406

Views

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

Published on 16 Apr 2026 - 3:15

score 759 · Answer 10 · 2026-05-10 19:40:53

759

Views

Is it true that there are infinitely many square numbers of the form $\lfloor n\sqrt{2}\rfloor$?

Published on 10 May 2026 - 19:40

score 1k · Answer 11 · 2026-05-11 07:49:19

1k

Views

On the probability of placing cups on saucers

Published on 11 May 2026 - 7:49

score 42 · Answer 12 · 2026-04-15 20:58:20

number of integer solutions for $t_1 + t_2 + \dots +t_n\le T$ with constrains for each variable $0\le t_i\le s$

score 1.7k · Answer 13 · 2026-04-13 20:43:44

1.7k

Views

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

Published on 13 Apr 2026 - 20:43

score 156 · Answer 14 · 2026-05-14 14:29:36

156

Views

Inequality with choose function: $1\sqrt{\binom n1} + 2\sqrt{\binom n2}+3\sqrt{\binom n3}+\cdots+n\sqrt{\binom nn} < \sqrt{{2^{n-1}}{n^3}}$

Published on 14 May 2026 - 14:29

score 170 · Answer 15 · 2026-04-10 21:34:01

170

Views

$A$ is matrix with integer entries and determinant 1. Effect on determinant if we reduce the entries modulo $k$

Published on 10 Apr 2026 - 21:34

List Question

How many 2x2 matrices with module 27 inputs exist with the condition being invertible?

Sum of harmonic number divided by k

Probability of having a $4$-digit PIN number with strictly increasing digits

Combinatorics question involving assigning students from high schools to colleges

Number repositioning

Figuring out how many ways 5 marbles can be drawn (combination/permutation problem)

How many solutions are there to the equation $x_1+x_2+x_3+x_4+x_5=30$ with restrictions using generating functions?

Minimal vertex cover

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

Is it true that there are infinitely many square numbers of the form $\lfloor n\sqrt{2}\rfloor$?

On the probability of placing cups on saucers

number of integer solutions for $t_1 + t_2 + \dots +t_n\le T$ with constrains for each variable $0\le t_i\le s$

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

Inequality with choose function: $1\sqrt{\binom n1} + 2\sqrt{\binom n2}+3\sqrt{\binom n3}+\cdots+n\sqrt{\binom nn} < \sqrt{{2^{n-1}}{n^3}}$

$A$ is matrix with integer entries and determinant 1. Effect on determinant if we reduce the entries modulo $k$

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