Question

17. If A={a,{b}}, then P(A) is
A) {°, {a},{b}, {a,b}} B) {°, {a},{{b}},{a,b}}
c) {0, {a},{{b}},{a,{b}} .D) none of these
​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A={a,{b}}, then P(A) is

A) { Φ , {a},{b}, {a,b}}

B) { Φ , {a},{{b}},{a,b}}

c) { Φ , {a},{{b}},{a,{b}}

D) None of these

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

Representation of Set

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

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={a,{b}}

We know that the collection of all subsets of a non empty set A is called power set of A

Here A contains 2 elements

So power set of A contains 4 elements

P(A) = { Φ , {a},{{b}},{a,{b}}

FINAL ANSWER

Hence the correct option is

c) { Φ , {a},{{b}},{a,{b}}

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