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Question: permute into a list of sums

Question:permute into a list of sums

RK1 160 Maple
combinatorics permutation
August 27 2022
0

I was wondering if there was a way to permute a list to get a list of sums of permutations.
for example,

list:=[a,b,c]
permute(list,2) gives me ([a,b] [b,c] [c,a])

I would like to get this instead: ([a+b],[b+c],[c+d])
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