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Questions tagged [combinatorics]

A puzzle based on combinatorics, which is the study of counting discrete structures. Use with [mathematics]

1 vote
0 answers
83 views

How many squares in a large square [closed]

How many squares of all sizes can be found on a large square made of 10000 small squares? I don't want to try them out or count them. I tried finding a pattern, as in a square made of 1^2 small square ...
Wang Eric's user avatar
1 vote
0 answers
116 views

Strategy for determining graph traversal rules yielding exactly one distinct graph traversal under every permutation [closed]

I am looking for advice/guidance/solutions which can help me with the following problem: Imagine a spatial graph in the x,y-plane arranged in an m x n grid e.g. a 4x4 grid Each vertex in the graph ...
RubeOnRails's user avatar
1 vote
1 answer
201 views

Strategy for solving "Hypatian Enigma" puzzle (all lines add to 38)

The "Hypatian Enigma" puzzle consists of 19 hexagonal blocks numbered 1 through 19. The blocks are arranged in 5 rows. The first and last rows have 3 blocks, the second and fourth row has 4 ...
Dale's user avatar
  • 111
5 votes
1 answer
369 views

Filling a rectangular grid with holes using tetrominoes

There is a rectangular grid of $R$ rows and $C$ columns. $R \times C \bmod 4$ of the cells are painted black, and all other cells are white. In other words, there are at least 0 and at most 3 black ...
Bubbler's user avatar
  • 15.9k