Question

Words of length $10$ are formed using the letters A, B, C, D, E, F, G, H, I, J

score 1.7k · Answer 1 · 2026-04-17 05:01:19

Words of length $10$ are formed using the letters A, B, C, D, E, F, G, H, I, J

Published on 17 Apr 2026 - 5:01

score 124 · Answer 2 · 2026-03-26 20:16:52

How many equivalence classes are over $4$-digit strings from $\{1,2,3,4,5,6\}$ if strings are in relation of they differ in order or are the same?

score 669 · Answer 3 · 2026-04-12 07:33:47

669

Views

How many positive integer solutions are to a system of linear equations?

Published on 12 Apr 2026 - 7:33

score 622 · Answer 4 · 2026-04-12 16:05:50

622

Views

Choosing $k$ objects from $n$ groups, at least one for each group ($k>n$)

Published on 12 Apr 2026 - 16:05

score 291 · Answer 5 · 2026-04-14 04:10:19

How many unique passwords are possible over alphabet of $62$ if order and repetition of characters don't matter?

score 90 · Answer 6 · 2026-04-16 00:53:28

90

Views

Counting binary words by runs

Published on 16 Apr 2026 - 0:53

score 1.4k · Answer 7 · 2026-04-16 07:09:59

1.4k

Views

How many $5$-digit positive even numbers can be formed by using all of the digits $1$, $2$, $3$ and $6$?

Published on 16 Apr 2026 - 7:09

score 394 · Answer 8 · 2026-04-09 05:33:36

394

Views

Does the Hamming weight of $n \to \infty$ diverge or converge?

Published on 09 Apr 2026 - 5:33

score 48 · Answer 9 · 2026-04-17 07:34:30

48

Views

Number of connected graphs with $l+1$ vertices, $l$ edges with multiplicities $m_1,\dots,m_l$.

Published on 17 Apr 2026 - 7:34

score 7.6k · Answer 10 · 2026-04-16 00:04:16

7.6k

Views

How many 4-letter words have all letters in alphabetical order?

Published on 16 Apr 2026 - 0:04

score 223 · Answer 11 · 2026-04-11 19:18:04

223

Views

Another variant of cops and robber.

Published on 11 Apr 2026 - 19:18

score 720 · Answer 12 · 2026-04-18 03:59:05

720

Views

British Maths Olympiad (BMO) 2000 Round 1 Question 5, dwarf combinatorics

Published on 18 Apr 2026 - 3:59

score 887 · Answer 13 · 2026-04-12 18:24:00

How many elements are in equivalence class of string $aabc$ if it's in relation with other strings of length $4$ who have the same set of characters?

score 37 · Answer 14 · 2026-04-16 17:49:31

37

Views

If I can take out as many as all balls, or as least as no ball, how many different selections are possible?

Published on 16 Apr 2026 - 17:49

score 79 · Answer 15 · 2026-04-13 13:09:09

79

Views

Probability and combinatorics Proof

Published on 13 Apr 2026 - 13:09

List Question

Words of length $10$ are formed using the letters A, B, C, D, E, F, G, H, I, J

How many equivalence classes are over $4$-digit strings from $\{1,2,3,4,5,6\}$ if strings are in relation of they differ in order or are the same?

How many positive integer solutions are to a system of linear equations?

Choosing $k$ objects from $n$ groups, at least one for each group ($k>n$)

How many unique passwords are possible over alphabet of $62$ if order and repetition of characters don't matter?

Counting binary words by runs

How many $5$-digit positive even numbers can be formed by using all of the digits $1$, $2$, $3$ and $6$?

Does the Hamming weight of $n \to \infty$ diverge or converge?

Number of connected graphs with $l+1$ vertices, $l$ edges with multiplicities $m_1,\dots,m_l$.

How many 4-letter words have all letters in alphabetical order?

Another variant of cops and robber.

British Maths Olympiad (BMO) 2000 Round 1 Question 5, dwarf combinatorics

How many elements are in equivalence class of string $aabc$ if it's in relation with other strings of length $4$ who have the same set of characters?

If I can take out as many as all balls, or as least as no ball, how many different selections are possible?

Probability and combinatorics Proof

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