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3
questions
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Number of possible combinations of X numbers that sum to Y where the order doesn't matters
I am looking for the number of possible outcomes given to a set of numbers X that sum to Y. This is the same issue as here. However, I would like to consider that (i) the numbers can't be repeated and ...
0
votes
1
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307
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Get combination of numbers that when added same as the given number
For a given number $n >0$ is there a way to get combination that add up to this number??
for example :
if $n=6$ then numbers that add up are $5+1,4+2,3+2+1$ so the combination is 3
if $n=4$ then ...
2
votes
0
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Closed-form solution of sum over compositions?
I am interested in calculating a closed-form solution of the following sum over compositions $$ \sum_{\substack{n_1 + \dots + n_M = N \\ n_i \geq 1}} \dfrac{n_1^2 + \dots + n_M^2}{n_1(N-n_1)! \dots ...