Question

no. 13. If A={1,2} , then number of elements in P(A) is equal to: *

2

4

8

16​

Answer 1

Answer:

️Ⓑ 4

Step-by-step explanation:

It is given that in set A there are 2 elements 1 and 2.

The question is asked to find about the number of elements in power set of A.

The number of elements in Power set:

☞ n (P(A)) = 2ⁿ

where ‘n’ is the number of terms.

★ According to the question,

There are 2 elements in set A.

So, n (P(A)) = 2² = 4

∴ Number of elements in P(A) = 【4】

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

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

• 2

• 4

• 8

• 16

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

$= {2}^{n}$

The number of elements in A = n = 2

So number of elements in P(A)

$= {2}^{2}$

$= 4$

FINAL ANSWER

Hence the correct option is 4

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