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Queues and permutation/combination

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#combinatorics #graph-theory #permutations #combinations #combinatorial-game-theory
174
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How many ways are there to distribute $7$ (identical) apples, $6$ oranges and $7$ pears among $3$ without restrictions?

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#combinatorics
154
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Placing 8 rooks on an unoccupied chessboard - two approaches

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#combinatorics #discrete-mathematics
363
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Arranging a packet of skittles with repetitions of flavor

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#combinatorics #permutations #combinations
242
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How many positive integer solutions satisfy the condition $y_1+y_2+y_3+y_4 < 100$

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#combinatorics #discrete-mathematics
58
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Number of ways of inviting people to a party

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#combinatorics #discrete-mathematics
564
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Bijective Proof Involving the Motzkin Numbers

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#combinatorics
1k
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Find the coefficient of $x^{18}$ in $(x + x^2 + x^3 + x^4 + x^5)(x^2 + x^3 + x^4 +\cdots)^5 $

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#combinatorics #discrete-mathematics #generating-functions
314
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Fruit Distribution Combinations

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#probability #combinatorics
33
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Cities problem interpretation

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#probability #combinatorics
379
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In how many ways can $16$ executives, including two brothers, be arranged around a circular table if the two brothers can't be seated together?

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#combinatorics #permutations
48
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Combinations Positioning of Digits

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#combinatorics #permutations
30
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In Lotto 6 different Numbers from the Set M = {1, 2 ..., 45} are to be guessed. How many guesses with exactly k correct numbers are present?

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#combinatorics
99
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combinatronics solving METHOD doubt regarding combination

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#combinatorics
60
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There are 10 people playing basketball. We want to divide them into two teams of 5. However, Dan and Mike want to be on the same team.

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#combinatorics #combinations

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