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21 April, 23:18

List all subsets of the following set: {dog, cat, fish}

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Answers (2)
  1. 22 April, 01:54
    0
    There are 8 subsets here. We have the original set {dog, cat, fish} which we can list the items in any order we want.

    Then we have the set of items where we only pick two pets

    {dog, cat}

    {dog, fish}

    {cat, fish}

    the order for any given set does not matter

    Then we have the set of just one pet only

    {dog}

    {cat}

    {fish}

    And finally, we have the empty set { } which is just curly braces with nothing inside.

    In summary, we have these 8 subsets

    {dog, cat, fish}

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

    {dog}, {cat}, {fish}

    { }

    Note how this is equal to 2^n = 2^3 = 8. The n = 3 indicates how many items are in the original set. The set of all possible subsets is known as the power set.
  2. 22 April, 02:30
    0
    Dog, cat

    Dog, fish

    Cat, fish

    Dog, fish, cat

    Fish, cat, dog

    Cat, dog, fish

    Fish, dog, cat
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