Count of sums

[mattis]

I would like to count sum(subsets) in the following code, how can i do this? thanks.

import itertools

thelist = [0, 0, 0, 1, 1, 2, 2, 1]
for L in range(5,6):
    for subset in itertools.combinations(thelist, L):
        print(f"{subset} => {sum(subset)}") 

For example, I would like to count where sum(subset)=6,7 etc.