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Sum of alternating ratio of combinations

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#combinatorics #binomial-coefficients #combinations #upper-lower-bounds
217
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Evaluating the sum $\sum\limits_{k=0}^{15} (-1)^k \cos^{560} (k\pi/16).$

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#combinatorics #trigonometry #summation
319
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Determining the number of ways to color the faces of a triangular prism with 4 colours using the counting theorem.

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#combinatorics #symmetric-groups
68
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Combinatorics and probability question

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#probability #combinatorics
222
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We are given an $18\times 18$ table, all of whose cells may be black or white.

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#linear-algebra #combinatorics #solution-verification #algebraic-combinatorics
1.5k
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Expressing polynomials as binomial coefficients

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#combinatorics #polynomials #binomial-coefficients
73
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Largest set of 4 digit codes that do not share 3 digits

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#combinatorics
115
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Number of integer solutions combinatorics problem

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#combinatorics
619
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Entry Level Combinatorics Proof-Check

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#combinatorics #discrete-mathematics #proof-verification
526
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A conjecture about big prime numbers

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#combinatorics #number-theory #prime-numbers #binomial-coefficients
96
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What are Distance Regular Graphs

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#combinatorics #graph-theory
149
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Number of triangles formed

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#combinatorics
123
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To draw the graph or explain why the relationship cannot be represented by a graph.

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#combinatorics #proof-verification #graph-theory #relations
46
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How many different combinations

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#combinatorics
187
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In how many ways can we distribute $20$ balls into $5$ boxes?

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#combinatorics #discrete-mathematics

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