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A (wrong) place for everything, and everything in its (wrong) place

You have an equal number of cups and balls, each labelled from one to N. You randomly place one ball in each cup. Determine th...

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Numbered lottery balls into cells

You are running a lottery, and have a number of different balls numbered 1 to N. Your job is to figure out how many different w...

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Put m balls into n boxes (again)

According to <http://www.mathworks.com/matlabcentral/cody/problems/1516-put-m-balls-into-n-boxes Cody Problem 1516>, if I put 3 ...

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Get ranking of a combination looking for speed.

I have the numbers pulled without replacement from the set [1 2 3 4 5 6 7 8 9 10 11 12 13]; They are then ordered from least to...

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Create Combination

Motivation: In many problems, we need to create combinations with the function nchoosek. In some cases, however, choices are lim...

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Usage of java.math : N Choose K with unlimited precision

Calculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allo...

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Next lexicographic - permutation

Find next lexicographic - permutation (permutations as it would occur in a dictionary order). E.g: nextP('ABCD') = ABDC If you...

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Repopulate the City

For any population p of positive integers between pmin and pmax, we can calculate histogram count n for a list of evenly dividin...

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Get ranking of a combination

I have the numbers pulled without replacement from the set [1 2 3 4 5 6 7 8 9 10 11 12 13]; They are then ordered from least to...

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Put m balls into n boxes

Can you find all the cases where, if I put 3 balls into 2 boxes the case is 1 1 1 1 1 2 1...

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NCHOOSEK - Time Optimization

*Input* * *V* —— Set of all choices, a vector of N, 1 < N < 100 * *K* —— Number of selected choices, a scalar, 0 <= K <=...

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Combinations without using nchoosek

You have to generate a matrix with all possible combinations of n elements *taken 2* at a time, *without using nchoosek(1:n,2)* ...

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Possible Outcomes of American Roulette

The payout for American roulette can be calculated by: payout = (38/n)-1 where n is the number of squares the bet covers. ...

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Times 2 - START HERE

Try out this test problem first. Given the variable x as your input, multiply it by two and put the result in y. Examples:...

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