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Arrangement of balls in a grid

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#combinatorics #permutations
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When $2$-cycles (transpositions) are not disjoint, they don't necessarily commute?

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#abstract-algebra #group-theory #permutations
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How many strings of $6$ digits are there which use only the digits $0, 1$, or $2$ and in which $2$, whenever it appears, always does so after $1$?

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#combinatorics #permutations #combinations
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Number of ways to color the edges of a tetrahedron with two colors?

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#combinatorics #permutations #contest-math
1.3k
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Find the number of permutations of order 2 in symmetric group $S_5$.

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#abstract-algebra #permutations #symmetric-groups
157
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Are disjoint cycles a basis for a permutation? (or can be thought of as)

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#abstract-algebra #group-theory #permutations
113
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Vandermonde-like identity mixing combination and permutation

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#combinatorics #summation #permutations
512
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Number of subsets with a median of 6?

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#combinatorics #permutations #contest-math
1.6k
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A difficulty in understanding that $A_4$ has no subgroup of order 6.

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#abstract-algebra #group-theory #finite-groups #permutations #symmetric-groups
37
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A combination calculation with a twist

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#combinatorics #permutations
1k
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2 people play a tennis match. Probability of winning?

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#probability #combinatorics #permutations
434
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Number of "swappy" numbers?

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#combinatorics #permutations #contest-math
415
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Number of legal paths on a grid?

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#combinatorics #permutations #contest-math
55
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Permutations/Combinations where only certain elements can be re-ordered with certain other elements

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#combinatorics #permutations #combinations
248
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Permutations of string with restrictions

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#combinatorics #permutations

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