Question 1196020
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One set is all numbers n∈N that are multiple of n (give the remainder 0 when divided by n).


Second set is all numbers n∈N that give the remainder 1 when divided by n.


Third set is all numbers n∈N that give the remainder 2 when divided by n.


Fourth set is all numbers n∈N that give the remainder 3 when divided by n.


 . . . And so on . . . 


Last set is all numbers n∈N that give the remainder (n-1) when divided by n.



In all, there are n such sets in this partition.