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What are the subsets of  set A={1,2,{3,4}} ?

According to me they are {∅},{1},{2},{{3,4}},{1,{3,4}},{2,{3,4}},{1,2,{3,4}},{1,2}

Now My Question is is Should we separately include {{3}},{{4}} and relevant elements like {1,{3}} etc in the above subset or my ans above is right.Please Help

2 Answers

Best answer
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No need to add..

For a given set of n elementsthere can ve at most 2^n subsets only.

Ur set has 3 elements and hence at most 8 subsets are possible.

No.need to split {3,4}

:)
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your ans is right here {3,4} is treated as single element and can not be separated  there are 3 elements in set so its power set will have 2^3 =8        {∅},{1},{2},{{3,4}},{1,{3,4}},{2,{3,4}},{1,2,{3,4}},{1,2}

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