Well I'm not sure how to more aptly say it, I'm sorry it's confusing for you. So if an array of arrays has 4 elements as in this example there are various combinations of these arrays that are possible depending on what your k is in n-choose-k. My example sums every combination in n-choose-2. So let's simplify it for the sake of expressing the problem:
Array Of Arrays = 1,2,3,4 (each is an array)
the six combinations choosing two at a time are 1+2,1+3,1+4,2+3,2+4,3+4 or six combinations (which is mathematically what 4 choose 2 equals).
so if array 1 is 1,1,1,1 and array 2 is 1,1,0,0 the first SUMMED combination (i.e. 1+2) = 2,2,1,1 : this is how the outputs are created.
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