Question

. If A={1,2} , then number of elements in P(A) is equal to: *

Answer 1

Answer:

$number \: of \: elements \: = {2}^{n} = {2}^{2} = 4$

hope it will help you dear

Answer 2

SOLUTION

TO DETERMINE

If A={1,2} , then number of elements in P(A) is equal to:

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

EVALUATION

We know that for a set A the set of all subsets of A is said to be power set of A and it is denoted by P(A)

We know that if a set contains n elements then the number of elements P(A) contains

$\sf{} = {2}^{n}$

The number of elements in A = n = 2

So number of elements in P(A)

$= {2}^{2}$

= 4

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