List questions from permutations

Published on 09 Apr 2026 - 6:11

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Prove that it is a group action

Published on 12 Apr 2026 - 23:43

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Writing Permutations as Product of Disjoint Cycles

Published on 11 Apr 2026 - 3:52

250

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Finding the Order of a Permutation

Published on 12 Apr 2026 - 3:30

539

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Doubly transitive group has irreducible augmentation module?

Published on 23 Apr 2026 - 4:52

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In how many ways can $3$ boys and $4$ girls be seated under the following conditions?

Published on 11 Apr 2026 - 4:17

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Determining the characters of an irrep of $D_4 \times D_8$

Published on 13 Apr 2026 - 17:55

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the unfair distribution

Published on 08 Apr 2026 - 17:44

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The diameter of the symmetric group generated by the transposition $(1,2)$ and both left and right rotations by $(1,2,\ldots,n)$

Published on 15 Apr 2026 - 2:42

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permutations and combinations (forming a committee)

Published on 13 Apr 2026 - 0:15

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$G$ is a group that is transitive on $\{1,2,\dots,n\}$, and let $H_i$ be the subgroup of $G$ that leaves $i$ fixed. Prove that $|G|=n|H_i|$.

Published on 14 Apr 2026 - 0:42

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Number of arrangements of 5 girls and 11 boys

Published on 15 Apr 2026 - 13:02

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Reason(s) Why the Set of Odd Permutations is Not a Subgroup of $S_n$

Published on 15 Apr 2026 - 15:29

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Perfect Shuffle Card Permutation Problem

Published on 11 Apr 2026 - 23:50

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Given $S=\{1,2,...,32\}$ and $T = \{(x_1, x_2,x_3,x_4)\in S^4|x_2 \geq x_1 +3, x_3 \geq x_2, x_4 \geq x_3 + 5\}$, find $|T|$

Published on 17 Apr 2026 - 12:34

List Question

Writing Permutations as Cycles

Prove that it is a group action

Writing Permutations as Product of Disjoint Cycles

Finding the Order of a Permutation

Doubly transitive group has irreducible augmentation module?

In how many ways can $3$ boys and $4$ girls be seated under the following conditions?

Determining the characters of an irrep of $D_4 \times D_8$

the unfair distribution

The diameter of the symmetric group generated by the transposition $(1,2)$ and both left and right rotations by $(1,2,\ldots,n)$

permutations and combinations (forming a committee)

$G$ is a group that is transitive on $\{1,2,\dots,n\}$, and let $H_i$ be the subgroup of $G$ that leaves $i$ fixed. Prove that $|G|=n|H_i|$.

Number of arrangements of 5 girls and 11 boys

Reason(s) Why the Set of Odd Permutations is Not a Subgroup of $S_n$

Perfect Shuffle Card Permutation Problem

Given $S=\{1,2,...,32\}$ and $T = \{(x_1, x_2,x_3,x_4)\in S^4|x_2 \geq x_1 +3, x_3 \geq x_2, x_4 \geq x_3 + 5\}$, find $|T|$

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