Question

Let A be the set of letters in the word (POOR). Write the power of set of A

Answer 1

Answer:

2^3 i.e. 8

Step-by-step explanation:

no. of elements in set A = 3 .....i.e. { P,O,R}

POWER OF SET A =2^3= 8

Answer 2

The power set of A is P(A) = { Φ , {P} , {O}, {R}, {P, O} , {O, R} , {P, R} , {P,O,R} }

Given :

A be the set of letters in the word POOR

To find :

The power set of A

Solution :

Step 1 of 2 :

Write down the set A

Here it is given that A be the set of letters in the word POOR

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

The distinct letters in the word POOR are P , O , R

∴ A = {P , O , R}

Step 2 of 2 :

Find power set of A

We know that the collection of all subsets of a non empty set A is a set of sets. This set is called the power set A and is denoted by P(A)

Hence the power set of A is denoted by P(A) and given by

P(A) = { Φ , {P} , {O}, {R}, {P, O} , {O, R} , {P, R} , {P,O,R} }

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