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I'm new to this but.. how many subsets does a five element have. How many subsets does a set of six elements have?

  • Math -

    if you include the empty set and the entire set itself in the list of subsets there will be 2^5 or 32 subsets for 5 elements.
    In general, if you have n elements in a set, there will be 2^n number of subsets including the null set and the entire set itself.
    e.g. {A,B,C)
    subsets : {},{A},{B},{C}, {A,B}, {A,C}, {B,C}, {A,B,C}
    there would be 2^3 or 8 of them

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