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15
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Picking marbles

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#combinatorics
377
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Polynomials $P(x)\in k[x]$ satisfying condition $P(x^2)=P(-x)P(x)$

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#combinatorics #polynomials #field-theory #extension-field #functional-equations
27
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2 particular adults cannot be together in a selection

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#combinatorics
422
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Is there a combinatorial proof that the Catalan number $C_n$ satisfies $(n+1)C_n={2n \choose n}$?

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#combinatorics #functions #reference-request #combinatorial-proofs #catalan-numbers
421
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5x5 Digit Matrix Puzzle

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#combinatorics
65
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Spm test question(Combination)

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#combinatorics #combinations #factorial
689
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Stars and Bars question with restriction that two variables must be equal

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#combinatorics
107
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Equilateral triangles with $3$ vertex in a regular hexagon

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#combinatorics
327
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From a deck of 52 cards, extract 10. In how many combinations do you get at least one ace?

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#combinatorics #combinations
1.5k
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Given a book with $100$ pages and a $100$ lemmas, prove that there is some lemma written on the same page as its index

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#combinatorics
719
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A Fibonacci convolution

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#combinatorics #generating-functions #convolution #fibonacci-numbers
43
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Prize Probability

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#probability #combinatorics
74
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Magic relation for harmonic numbers

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#sequences-and-series #combinatorics #power-series
821
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Sample of 3 from 5: Permutation or Combination?

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#probability #combinatorics #permutations #combinations
84
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probability for filling fuel

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#probability #combinatorics #matrices #probability-theory

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