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How to prove this strange combinatorical identity?

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#combinatorics #number-theory
1.2k
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How many combinations of sets / algorithm to generate all possible?

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#combinatorics
1.7k
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Amount of Number Combinations to Reach a Sum of 10 With Integers 1-9 Using 2 or More Integers

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#combinatorics #combinations
72
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Combinatorial proof of $P(n|p|q+1) = P(n-q|p|\le q+1) - P(n-p-q|p|\le q)$

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#combinatorics #integer-partitions
915
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Coupon collector problem with partial collection of a specific set of coupons

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#probability #combinatorics #coupon-collector
134
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What is the number of binary sequences of length N in which every occurrence of zeros has even length?

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#sequences-and-series #combinatorics
285
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Combination Problem Involving Integers 1-9 to Reach a Sum of 10

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#combinatorics #combinations
1.8k
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How many different ways can a group of students be hired to work a survey?

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#combinatorics #statistics #permutations
2.6k
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What is the Probability of Choosing 3 Specific Balls from a 15-Ball Set?

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#probability #combinatorics #permutations #combinations
2.9k
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If five cards are drawn randomly from an ordinary deck, what is the probability of drawing exactly three face cards?

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#probability #combinatorics
71
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Probability with pins in a box

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#probability #combinatorics #binomial-coefficients
49
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Given a fixed $x_0$ can a reccurence relation give rise to two distinct sequences?

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#real-analysis #sequences-and-series #combinatorics #recurrence-relations
501
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number of permutations with k inversions modulo 3

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#combinatorics
887
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A boy has $3$ library tickets and 8 books of his interest in the library.

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#combinatorics #combinations
1.4k
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An ant is to walk from $A$ to $B$. Calculate the number of paths.

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#combinatorics #permutations

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