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Number of combinations formula

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#combinations
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Number of arrangements of colored balls into distinct bins

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#probability #combinatorics #combinations
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Ways to arrange the letters in "TRIANGLE" if vowels must appear in alphabetical order?

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#combinatorics #combinations
66
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An unusal feature of a usual double sum of product of two binomial coefficiens

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#sequences-and-series #combinations #binomial-coefficients
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Multinomial Theorem Formula

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#combinatorics #combinations
81
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How much should I pay in this poker game to make the expectation zero?

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#probability #combinatorics #combinations #expected-value
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integral solution of n such that [nC10][(n+1)C10] is a perfect square?

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#combinatorics #number-theory #combinations
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Number of possible moves for the first three steps in checkers/chess.

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#discrete-mathematics #combinations #chessboard
2.1k
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What is the number of ways of arranging two colours such that no more than $k$ pieces of same colour are together?

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#combinatorics #combinations #dynamic-programming
107
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balls and boxes; permutation and combination.

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#combinatorics #permutations #combinations
141
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Faa di Bruno's formula and alternating functions

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#combinatorics #functional-analysis #number-theory #combinations #integer-partitions
144
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Magic square matrices

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#combinations #magic-square
50
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How many solutions $\mid a - b \mid \le 5 $ for $a$, $b$ in $\{1, 2, ..., 50\}$?

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#combinatorics #combinations
66
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Number of equal pairs from a set of size n in range 1-nlog

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#combinatorics #combinations #combinatorial-proofs #infinitesimals #discrete-calculus
56
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Find combinations or $n$ items that add up to $x$ out of $p$

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#combinatorics #combinations

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