Question Bank - Mathematics

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If A = {{1, 2, 3}}, then how many elements are there in the power set of A?

A.
1
B.
2
C.
4
D.
8

Solution:

Concept:Power set B, of any set A is a set of all the subsets of A and the number of elements of B will be 2n where n is the number of elements of A.Calculation:Given:A = {{1, 2, 3}}B: set of all subsets of AList of all the subsets of A = {(1,2,3)},{empty set}Number of elements in A (n) = 1 so 21 = 2So, B = {{{1,2,3}},{empty set}} and the number of elements are 2.? Number of elements in the power set of A = 2

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