Question

Is the nth Catalan number smaller than n!?

score 149 · Answer 1 · 2026-04-14 09:03:35

149

Views

Is the nth Catalan number smaller than n!?

Published on 14 Apr 2026 - 9:03

score 43 · Answer 2 · 2026-04-15 07:07:58

43

Views

How many different arrangements of $2$ blue, $2$ pink and $2$ green houses are there?

Published on 15 Apr 2026 - 7:07

score 120 · Answer 3 · 2026-04-17 05:54:22

How many functions g can be defined from set $A=\{0,1,...,2^n-1,2^n\}$ to set $B=\{0,...,n\}$ such that $g(2^x)=x$ for all $x \in B$?

score 2.3k · Answer 4 · 2026-04-16 09:36:59

How many $10$-letter words can be formed using the $26$ letters of the alphabet if repetition is allowed, but letters are listed alphabetically

score 95 · Answer 5 · 2026-04-14 00:12:40

95

Views

Partitions created by intersections of Circles

Published on 14 Apr 2026 - 0:12

score 676 · Answer 6 · 2026-04-15 14:17:29

676

Views

To compute total possible paths in a rectangular grid if steps to the right, up, or diagonally up are allowed

Published on 15 Apr 2026 - 14:17

score 160 · Answer 7 · 2026-04-23 15:56:12

160

Views

How many integers from 1 through 1000 are divisible by 3 and by at least one of 2,5,7, and 11?

Published on 23 Apr 2026 - 15:56

score 985 · Answer 8 · 2026-04-15 23:01:28

985

Views

Working backwards with Venn Diagrams

Published on 15 Apr 2026 - 23:01

score 236 · Answer 9 · 2026-04-11 07:26:16

236

Views

Seating arrangements: Question about the book solution and summation indices

Published on 11 Apr 2026 - 7:26

score 185 · Answer 10 · 2026-04-13 19:07:44

185

Views

Three dice are thrown simultaneously. How many combinations of numbers allow the sum to be $12$?

Published on 13 Apr 2026 - 19:07

score 2.8k · Answer 11 · 2026-04-16 04:15:55

2.8k

Views

Number of elements in polynomial of degree n and m variables

Published on 16 Apr 2026 - 4:15

score 979 · Answer 12 · 2026-04-13 16:28:51

979

Views

How many substrings can be formed from a string of length n? BUT THE SUBSTRINGS LENGTH ARE LIMITED

Published on 13 Apr 2026 - 16:28

score 80 · Answer 13 · 2026-04-09 02:21:57

80

Views

Generating function for seven constrained die rolls

Published on 09 Apr 2026 - 2:21

score 697 · Answer 14 · 2026-04-16 23:47:20

697

Views

What is the probability that a five-card poker hand has no pairs (possibly straight or flush)?

Published on 16 Apr 2026 - 23:47

score 531 · Answer 15 · 2026-04-14 08:09:55

531

Views

Combinatorics - Distributing n balls to 2 boxes

Published on 14 Apr 2026 - 8:09

List Question

Is the nth Catalan number smaller than n!?

How many different arrangements of $2$ blue, $2$ pink and $2$ green houses are there?

How many functions g can be defined from set $A=\{0,1,...,2^n-1,2^n\}$ to set $B=\{0,...,n\}$ such that $g(2^x)=x$ for all $x \in B$?

How many $10$-letter words can be formed using the $26$ letters of the alphabet if repetition is allowed, but letters are listed alphabetically

Partitions created by intersections of Circles

To compute total possible paths in a rectangular grid if steps to the right, up, or diagonally up are allowed

How many integers from 1 through 1000 are divisible by 3 and by at least one of 2,5,7, and 11?

Working backwards with Venn Diagrams

Seating arrangements: Question about the book solution and summation indices

Three dice are thrown simultaneously. How many combinations of numbers allow the sum to be $12$?

Number of elements in polynomial of degree n and m variables

How many substrings can be formed from a string of length n? BUT THE SUBSTRINGS LENGTH ARE LIMITED

Generating function for seven constrained die rolls

What is the probability that a five-card poker hand has no pairs (possibly straight or flush)?

Combinatorics - Distributing n balls to 2 boxes

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