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Can you completely permute the elements of a matrix by applying permutation matrices?

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#linear-algebra #matrices #permutations #permutation-matrices
281
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«A cycle is a product of transpositions» $\iff$ «Rearrangement of $n$ objects is the same as successively interchanging pairs»

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#group-theory #permutations #function-and-relation-composition #permutation-cycles
804
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GCD and the cycle decomposition of a permutation

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#group-theory #permutations #finite-groups #gcd-and-lcm
783
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permutations and disjoint cycles, the inverse.

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#permutations #inverse
1.6k
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How many 5-letter words with a) no letter A b) at least one A

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#combinatorics #permutations
62
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Finding formula to count number of arrays of the numbers $1, 2, 3, \ldots, n$ in which an entry is in the top row or has an element directly above it

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#sequences-and-series #permutations
651
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In how many permutations of $1,2,3...100$ will the 25th number be the minimum of the first 25 numbers, and likewise for the 50th of the first 50?

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#combinatorics #permutations
376
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number of permutations in which $k$ numbers come after each other

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#permutations
1.9k
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Derangement recurrence $D(n) = nD(n-1) + (-1)^n$

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#combinatorics #permutations #recurrence-relations #derangements
202
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Navy bunk locker code combinations problem

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#combinatorics #permutations #combinations
595
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Counting number of 11 digit numbers

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#combinatorics #permutations
90
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Counting number of integer solutions

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#combinatorics #permutations
44
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Do almost all permutations of the interval have dense graphs?

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#real-analysis #general-topology #permutations
955
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A probablility puzzle of winning or losing a basketball free throw game.

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#probability #permutations
130
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How many ways to distribute?

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#combinatorics #permutations #combinations

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