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Decomposition of a cycle into transpositions

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#abstract-algebra #group-theory #permutations #symmetric-groups
366
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how many five-digit integers can one make from the digits 2,2,6,0,9,4?

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#combinatorics #permutations
252
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Relations between n-ary relations

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#discrete-mathematics #logic #permutations #terminology #relations
946
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Counting in a rectangular grid with obstacles

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#permutations
68
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Permutation representation definition

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#group-theory #permutations #representation-theory
92
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$(1 7 3 4)(1 2 3)$ as a product of disjoint cycles and transpositions

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#abstract-algebra #group-theory #permutations
849
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Unitary equivalence to permutation matrix

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#matrices #permutations #roots-of-unity #unitary-matrices #permutation-matrices
1.3k
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Can Cayley's Theorem be applied to groups with infinite order?

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#group-theory #permutations #group-isomorphism
359
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How many four-digit numbers can be formed from the digits $0,1,2,3,4,5$ with repetition if it contains exactly $3$ different digits?

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#combinatorics #permutations
71
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Calculation of number of permutations

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#combinatorics #permutations #inclusion-exclusion
48
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how many unique $3$ digit numbers can be formed using digits $1,1,1,1,2$? Explain the logic too.

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#permutations #combinations #problem-solving #education
62
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Let $A$ be a $4×4$ matrix with complex entries such that $\sigma(A) = \{1, 2\}$. What are all possible Jordan forms of $A$?

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#linear-algebra #matrices #permutations #diagonalization #jordan-normal-form
188
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How to find order of permutation for this example?

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#abstract-algebra #permutations
186
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In how many ways can $3$ ladies and $3$ gentlemen be seated around a round table so that any two and only two of the ladies sit together?

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#combinatorics #permutations
65
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How many legal permutations are there of D&D ability score results?

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#permutations

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