Question

Which of the following represents the power set of Set A, where A = { - 1, 0, 1 }

• A. { {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {-1, 0, 1} }
• B. { {-1, 0}, {0, 1}, {-1, 1}, { }, {-1, 0, 1} }
• C. { {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, { }, {-1, 0, 1} }
• D. { {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, { } }

Answer 1

The correct option is C

{ {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, { }, {-1, 0, 1} }

Power set of any set A, contains all the subsets of set A.
Subsets of given set are - { }, {-1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {-1, 0, 1}
So a set containing all these subsets as its elements will be the power set.