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Partitioning a list from an index


hello,

how can partition a list (doesn't have to be with 'Partition') such that the 
partition will begin with a specific index?

like this:

list1={1,2,3,4,5,6,7,8,9,10}

and i might want to split it to pairs or threes from index 6 for example, so 
for threes it will be

{1,2,{3,4,5},{6,7,8},9,10}

with or without padding to those that are left, depends on what it is 
possible, or maybe put them together or something

for pairs it will be {1,{2,3},{4,5},{6,7},{8,9},10}
again with or without padding

thank you very much

Guy 



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