a set has 62 proper subsets how many elements has it for? ​

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a set has 62 proper subsets how many elements has it for?
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Verity 3 years 2021-08-01T09:55:21+00:00 1 Answers 93 views 0

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  1. minhkhoi
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    2021-08-01T09:56:32+00:00
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    Answer:

    6

    Step-by-step explanation:

    Total number of subsets is given as

    {2}^{n}

    But the subset of a set consists of the proper subsets, an empty set and the set itself.

    Total number of subsets are 64

    Therefore,

    {2}^{n} = 64

    {2}^{n} = {2}^{6}

    Comparing both sides

    n = 6

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