Question Bank - Mathematics

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Consider all the subsets of the set A = {1, 2, 3, 4}. How many of them are supersets of the set {4}?

A.
6
B.
7
C.
8
D.
9

Solution:

Concept: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 proper subsets of {1, 2, 3, 4} and supersets of set {4} are{1, 4}, {2, 4}, {3, 4}, {1, 2, 4}, {2, 3, 4), (1, 3, 4}, {1, 2, 3, 4)Hence, there are 7 supersets of the set {4}.? The required number of set is 7.

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