show your work and list all subsets of the following set:

{dog, cat, fish}

{dog}; {cat}; {fish}
{dog}; {cat}; {fish}

{dog}; {cat}; {fish}; {dog, cat}; {dog, fish}
{dog}; {cat}; {fish}; {dog, cat}; {dog, fish}

{ } ; {dog}; {cat}; {fish}; {dog, cat}; {dog, fish}
{ } ; {dog}; {cat}; {fish}; {dog, cat}; {dog, fish}

{ } ; {dog}; {cat}; {fish}; {dog, cat}; {dog, fish}; {cat, fish}; {dog, cat, fish}

The subsets of the set {dog, cat, fish} are:

{ }
{dog}
{cat}
{fish}
{dog, cat}
{dog, fish}
{cat, fish}
{dog, cat, fish}