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How many ways can five dogs and/or cats be seated around a circular table? Consider two animals of the same type to be identical.

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#combinatorics #permutations #combinations
4.5k
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How many ways are there to distribute 12 distinguishable balls into 6 distinguishable bins?

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#combinatorics #permutations #combinations
830
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Number of subsets such that no subset contains any two consecutive terms

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#permutations #combinations
356
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Recurrence formula for the Eulerian and derangement polynomial

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#combinatorics #reference-request #permutations #derangements #eulerian-numbers
197
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How to determine the invariant of a set?

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#combinatorics #permutations #invariance
110
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How many permutations with a given number of disjoint cycles are there?

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#combinatorics #permutations #symmetric-groups
680
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How many points would be required to win a football group with 6 teams?

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#permutations
26
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How to easily calculate permutations on large vectors $(\omega_1, \omega_2, ...)$?

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#probability-distributions #permutations #random-variables
481
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Conjugacy classes splitting in alternating group

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#group-theory #permutations #symmetric-groups
3.5k
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How many ways are there to distribute $15$ distinguishable objects into $5$ distinguishable boxes?

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#combinatorics #permutations #combinations
295
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Number of Combinations and Sum of Combinations of 10 Digit Triangle

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#geometry #permutations #combinations
940
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Find a generating function for $3r^3 - 5r^2 + 4r$

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#combinatorics #permutations #generating-functions
220
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Number of microstates in a two level system

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#permutations
2.1k
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Number of possibilites for $4$ digit code with two identical digits

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#permutations
266
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Conjugates of a cycle $\sigma$ in $S_n$

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#group-theory #permutations #symmetric-groups

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