Question
Download Solution PDFConsider all the subsets of the set A = {1, 2, 3, 4}. How many of them are supersets of the set {4}?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
A proper subset is one that contains few elements of the original set.
A superset is one that contains all the elements including elements of the original set.
Calculation:
The superset of {1, 2, 3, 4} and supersets of set {4} are
{4}, {1, 4}, {2, 4}, {3, 4}, {1, 2, 4}, {2, 3, 4), (1, 3, 4}, {1, 2, 3, 4}
Hence, there are 8 supersets of the set {4}.
∴ The required number of set is 8.
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