Combinatorics: Selecting pebbles making up a 9-sided shape
94141
$20$ people are sitting around a (circular) table. How many ways can we choose $3$ people, no two of whom are neighbors?
39007
Identical balls arrangement in a circle
102235
Choosing $n$ equidistant points on a circle with given radius and center
58508
Number of ways to pair off $2n$ points such that no chords intersect
134440
An unexpected application of non-trivial combinatorics
147861
Packing squares into a circle
97627
filling an occluded plane with the smallest number of rectangles
53655
Ways of getting a number with $n$ dice, each with $k$ sides
7234
Generate $n$ randomly oriented non-intersecting cylinders with fixed radius and length
112596
Stones in a bag with Combinations
120684
Calculating the number of possible paths through some squares
41525
Seven-sided dice from five-sided dice with finite rolls
4747
arrangement of $n$ oranges and $n$ apples around a circle
45448
Minimum number of $k$-partitions of a set of size $n$ to enumerate all $n \choose k$ combinations
28496
Generating the partitions of a number
125132
How can I (algorithmically) count the number of ways n m-sided dice can add up to a given number?
24146
Number of ways to partition a rectangle into n sub-rectangles