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Why Can I divide generating function by $x$

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#combinatorics #ring-theory #generating-functions #formal-power-series
468
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Understanding inclusion exclusion principle (with example question).

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#generating-functions #inclusion-exclusion
135
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In how many ways can we distribute 24 bullets among four burglars?

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#discrete-mathematics #generating-functions
37
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Determine a generating function and name the coefficient you would need to count the solutions to distribution question

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#generating-functions
350
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Hard binomial sum

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#summation #binomial-coefficients #generating-functions #catalan-numbers
66
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Question about multiplying summations with another summation inside

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#sequences-and-series #summation #power-series #generating-functions
518
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Find the coefficient of $x^{15}$

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#discrete-mathematics #generating-functions
897
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Exponential Generating Function of rooted minimal directed acyclic graphs

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#sequences-and-series #combinatorics #generating-functions #trees
250
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Find coefficient of x in a generating function

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#combinatorics #generating-functions
158
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What to do after finding products for coefficients in generating functions?

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#combinatorics #generating-functions
3.4k
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What is the need of exponential generating functions on combinatorial problems?

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#combinatorics #generating-functions
281
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Getting the proof of the generating function formula for Stirling numbers by 'staring' at the expression using combinatorial classes.

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#combinatorics #generating-functions
207
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Why do I need the subtraction for this generating function?

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#combinatorics #generating-functions
211
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Find the number of ways to obtain a total of $15$ points by throwing $4$ different dice?

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#combinatorics #generating-functions
662
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Challenging identity regarding Bell polynomials

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#combinatorics #summation #generating-functions #closed-form #stirling-numbers

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