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LR-rule and Standard Young Tableau counting

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#combinatorics #reference-request #symmetric-functions #young-tableaux
290
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Showing $\sum\limits_{j=0}^M \frac{M \choose j}{N+M \choose j} = \frac{N+M+1}{N+1}$

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#combinatorics #binomial-coefficients
68
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Probability of full house?

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#probability #combinatorics #combinations
245
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Infinite sequence of integers has infinitely many prime divisors

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#sequences-and-series #combinatorics #number-theory #prime-numbers #vectors
104
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How to show that $2^n > n$ without induction

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#combinatorics #summation #proof-writing #binomial-coefficients #binomial-theorem
728
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How to solve a problem about anagrams

Published on
#combinatorics
503
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Birthday problem: why not: combinations without/with replacement??

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#combinatorics #statistics
124
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Counting strings: Determine the number of valid strings of length n

Published on
#combinatorics #permutations
304
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How many combinations are there to pull at least 1 ace with 10 cards.

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#combinatorics
1.3k
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Counting number of Bitstrings that do not contain $110$ for length $n \ge 4$

Published on
#combinatorics #permutations #bit-strings
127
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Permutations, products, and unit fractions

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#combinatorics #number-theory #permutations #egyptian-fractions
105
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Calculating $\sum_{\substack{k|r \\ k \leq n}} \mu \left({ {k}}\right)$?

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#combinatorics #number-theory #mobius-function
171
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Discrete Probability: Rolling a fair die with independent rolls to each other

Published on
#combinatorics #probability-theory
98
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Lottery Probability Question: probability of exactly $x$ matching numbers

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#probability #combinatorics
60
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using the inclusion and exclusion principle

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#combinatorics

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