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Infinite Knight's Tour

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#combinatorics #complex-numbers #knight-tours
2.8k
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Sum of $\sum_{k=0}^{49} (-1)^{k} \binom{99}{2k}$

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#combinatorics
56
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Unique set of difference between nearest numbers in permutations

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#combinatorics #permutations
452
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Multinomial theorem & combinatorial probabilities

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#probability #combinatorics #binomial-theorem #multinomial-coefficients
157
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The number of partitions of set $A=\{1,2,\cdots,n\}$ non-empty blocks of even size

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#combinatorics #set-partition
181
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What is the probability of $m$ random elements generating $S_n$?

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#probability #abstract-algebra #combinatorics #group-theory #permutations
711
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Number of different sums with k numbers from {1, 5, 10, 50}

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#combinatorics #discrete-mathematics #generating-functions
682
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Recurrence relation for number of ways covering $3\times N$ rectangle with dominos

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#combinatorics
49
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Prove this factorial fractional equivalence

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#combinatorics #analysis #factorial #divisor-sum
1.2k
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In how many ways can a committee of $5$ members be formed from $4$ women and $6$ men such that at least $1$ woman is a member of the committee.

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#combinatorics #solution-verification
349
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Random walk on the lamplighter group

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#probability #combinatorics #group-theory #random-walk #cayley-graphs
730
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All distinct k-permutations of length n, with repetitions

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#combinatorics #combinatorial-proofs
71
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Solve a summation with generating functions and Burnside's lemma

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#combinatorics #summation
105
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Complement Event

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#probability #combinatorics
356
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Solve a recursive equation about chess

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#combinatorics #discrete-mathematics #induction #recursion #chessboard

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