Question

If A = {1,3,9} then which of the following is power set of A?

(A) { {1,3}, {3,9}, {3,1}. {9,3}, {1,9} }

(B) { { }, {1}, {3}, {9}, {1,3}, {1,9}, {3,9}, {1,3,9}}

(C) { Ø, {1,4}, {1,9}, {3,7}, A }

(D) B = { {1,3}, {3,9} }​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A = {1,3,9} then which of the following is power set of A?

(A) { {1,3}, {3,9}, {3,1}. {9,3}, {1,9} }

(B) { { }, {1}, {3}, {9}, {1,3}, {1,9}, {3,9}, {1,3,9}}

(C) { Ø, {1,4}, {1,9}, {3,7}, A }

(D) B = { {1,3}, {3,9} }

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Power Set

The collection of all subsets of a non empty set S is a set of sets. This set is called the power set S and is denoted by P(S)

EVALUATION

Here the given set is A = {1,3,9}

Since A contains 3 elements

So number of elements in the power set of A = 8

The all subsets of A are

{ }, {1}, {3}, {9}, {1,3}, {1,9}, {3,9}, {1,3,9}

So power set of A is

{ { }, {1}, {3}, {9}, {1,3}, {1,9}, {3,9}, {1,3,9}}

FINAL ANSWER

Hence the correct option is

(B) { { }, {1}, {3}, {9}, {1,3}, {1,9}, {3,9}, {1,3,9}}

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Answer 2

Answer:

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