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Expander graphs and logarithmic diameter

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#combinatorics #group-theory #graph-theory
6k
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Number of injective, surjective, bijective functions.

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#combinatorics #functions #solution-verification
428
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Poker combinatorics - chance to make two pairs by the river

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#probability #combinatorics #poker
39
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Combinatorics with repetition after specific interval

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#combinatorics
287
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Elementary number theory in sets

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#combinatorics #elementary-number-theory #discrete-mathematics #divisibility #pigeonhole-principle
34
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All sorted tuples

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#combinatorics
232
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Counting Labelings of a Graph with a Property

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#combinatorics #graph-theory
2.7k
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How many palindromes are there in the range $0000$ to $9999$?

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#combinatorics #combinations #palindrome
248
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Generating function for number of words with no k consecutive 0's?

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#combinatorics #discrete-mathematics #generating-functions
163
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Inclusion-Exclusion principle / Coupon Collector

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#probability #combinatorics #probability-theory #inclusion-exclusion #coupon-collector
242
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Software to generate graphs with specific properties.

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#combinatorics #graph-theory #reference-request #math-software #programming
2k
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5 pairs of shoes, from which 4 shoes are chosen at random. What is the probability that at least one pair is chosen?

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#probability #combinatorics #discrete-mathematics #permutations
48
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How to mathematically prove: $\sum_{x = r}^{n} C(x , r) = C(n+1 , r+1)$.

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#combinatorics #binomial-coefficients #combinations
68
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Splitting books between people, with fixed split sizes on the number of books given to each person

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#probability #combinatorics #permutations
57
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Picking $r$ balls from $k$ types of balls where $k-1$ types of balls have infinite supply and the $k^\text{th}$ type has only $1$ copy.

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#probability #combinatorics #proof-verification #alternative-proof

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