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Set Y is a subset of a set X; if Y is contains the all or some elements present in set X. Remember Null set is always a subset of every set. The total number of subsets of any n element set is 2^n. Set {0,1,2,3,4) Total number of subset = 2^5 = 32
With 0 elements = {}
With one element ={0},{1},{2},{3},{4}
With two elements= {0,1},{0,2},{0,3},{0,4},{1,2},{1,3},[1,4},{2,3}{2,4},{3,4}
With three elements =
{0,1,2},{0,1,3},{0,1,4},{0,2,3},{0,2,4},{0,3,4},{1,2,3}, {1,2,4}, {1,3,4} , {2,3,4}
With Four elements =
{0,1,2,3},{0,1,2,4},{0,1,3,4},{0,2,3,4},{1,2,3,4}
With five elements = {0,1,2,3,4}
With 0 elements = {}
With one element ={0},{1},{2},{3},{4}
With two elements= {0,1},{0,2},{0,3},{0,4},{1,2},{1,3},[1,4},{2,3}{2,4},{3,4}
With three elements =
{0,1,2},{0,1,3},{0,1,4},{0,2,3},{0,2,4},{0,3,4},{1,2,3}, {1,2,4}, {1,3,4} , {2,3,4}
With Four elements =
{0,1,2,3},{0,1,2,4},{0,1,3,4},{0,2,3,4},{1,2,3,4}
With five elements = {0,1,2,3,4}
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