Question

CODICATIU
3. If A = {1,2,3,4,5), then P(A) contains ___ number of elements.
(a) 3 (b) 5 (c) 10 (d) None of these

Answer 1

Answer:

None of these

Explanation:- because P(A) contains 2 raise to power n no. of elements which is equal to subset. and the answer will be 32.

Answer 2

If A = {1,2,3,4,5} then P(A) contains 32 number of elements.

Given :

A = {1,2,3,4,5}

To find :

P(A) contains ___ number of elements.

(a) 3

(b) 5

(c) 10

(d) None of these

Solution :

Step 1 of 2 :

Write down the given set

The given set is

A = {1,2,3,4,5}

Step 2 of 2 :

Find number of elements in P(A)

We know that for any set A the power set of A is defined as the set of all subsets of A and denoted by P(A)

Since A contains 5 elements

So the number of elements P(A) contains

$= {2}^{5}$

= 32

Hence the correct option is (d) None of these

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