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Editorial Team
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Editorial Team
Asked: May 15, 20262026-05-15T02:33:04+00:00 2026-05-15T02:33:04+00:00

As an example, here is a way to get a matrix of all possible

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As an example, here is a way to get a matrix of all possible outcomes of rolling 4 (fair) dice.

z <- as.matrix(expand.grid(c(1:6),c(1:6),c(1:6),c(1:6)))

As you may already have understood, I’m trying to work out a question that was closed, though, in my opinion, it’s a challenging one. I used counting techniques to solve it (I mean by hand) and I finaly arrived to a number of outcomes, with a sum of subset being 5, equal to 1083 out of 1296. That result is consistent with the answers provided to that question, before it was closed. I was wondering how could that subset of outcomes (say z1, where dim(z1) = [1083,4] ) be generated using R. Do you have any ideas?

Thank you.

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  1. Editorial Team
    Editorial Team
    2026-05-15T02:33:05+00:00Added an answer on May 15, 2026 at 2:33 am
    sum(apply(z, 1, function(x) 5 %in% unlist(sapply(1:4, function(i) combn(x, i, sum)))))
    
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