SOLUTION: List all the subcet of {11,12,13,14}

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Question 618406: List all the subcet of {11,12,13,14}
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
List of all subsets of set {11,12,13,14}

{11,12,13,14}
{11,12,13}, {11,12,14}, {11,13,14}, {12,13,14}
{11,12}, {11,13}, {11,14}, {12,13}, {12,14}, {13,14}
{11}, {12}, {13}, {14}
{}

Note: {} is the empty set.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
There are 2^4 or 16 of them since there are 4 elements.

{}  The empty set, has 0 elements
{11}
{12}   These 4 have just 1 element, they are called "singletons"
{13}
(14)
{11,12}
{11,13}
{11,14}     These 6 have 2 elements
{12,13}
{12,14}
{13,14}
{11,12,13}
{11,12,14}  These 4 have 3 elements
{11,13,14}
{12,13,14}
{11,12,13,14}  This 1 has all four elements.  It is not considered a
               PROPER subset, since it is the WHOLE, not really deserving
               of the prefix "sub" but it is considered a subset anyway.

Edwin

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