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What is the least amount of pieces on a board with the following conditions:

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#combinatorics #combinatorial-geometry
325
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finding the number of positive divisors for a $1111.......1$ ($1992$ times)

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#combinatorics #prime-factorization #repunit-numbers
235
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We are given 10 red and 15 green balls. we are asked to draw two balls successively. What is the probability that one ball is red and other is green.

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#probability #combinatorics #discrete-mathematics #problem-solving
90
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Long-term ball distribution in urns

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#probability #combinatorics #stochastic-processes #markov-process #steady-state
68
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Combinatorial species for a given generating function

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#combinatorics #generating-functions
68
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When should we suspect an integral polynomial/power series to have coefficients with meaning behind them?

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#combinatorics #polynomials #soft-question #intuition #formal-power-series
279
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How many different words can be formed from the letters of the word DAUGHTER when the letters T,A,D are never together.

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#combinatorics #permutations
75
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The number of ways to pile n white circles, when in the bottom row there are n white circles?

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#combinatorics #recurrence-relations #combinations #recursion #multisets
212
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Finding the amount partitions with gives sizes of a multiset

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#linear-algebra #combinatorics #combinations #set-partition #multisets
80
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Physical meaning of n!/k!

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#combinatorics
5.9k
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4 Boys & 4 Girls are to be seated in a line find number of ways , so that Boys & Girls are in alternate seats.

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#combinatorics #permutations
1.2k
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What is the number of arrangements of 5 different things taken 3 at a time in which 2 particular thing always occur?

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#combinatorics #permutations
100
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Sum of products of $m$-tuples chosen from the set of squared reciprocals

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#combinatorics #number-theory #reference-request #riemann-zeta
2.2k
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Arranging finite balls of different color such that no balls of the same color are adjacent

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#combinatorics
102
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Combinatorial proof for the following fact: $\binom{2n}{n+1}+2\binom{2n}{n}+\binom{2n}{n-1}=\binom{2n+2}{n+1}$

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#combinatorics #discrete-mathematics

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