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Consider the proper subsets of {1, 2, 3, 4}. How many of these proper subsets are a superset of the set {3}?

Consider the proper subsets of {1, 2, 3, 4}. How many of these proper subsets are a superset of the set {3}? Correct Answer 7

Concept:

A proper subset is one that contains few elements of the original set.

A superset is one which contain all the element including elements of the original set.

 

Calculation:

The proper subsets of {1, 2, 3, 4} and supperset of set {3} are

{1, 3}, {2, 3}, {3, 4}, {1, 2, 3}, {2, 3, 4}, {1, 3, 4}, {1, 2, 3, 4}

Hence, option (3) is correct.

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