Question

If A = {1, 2, 3, 4, 5) then find the number of elements in the power set of A
(1) 30
(2) 32
(3) 16
(4) 64​

Answer 1

Answer:

There is yoir answer:

Step-by-step explanation:

n(A) = 5

P(A) = 2^n(A)

P(A) = 2^5

P(A) = 2*2*2*2*2 = 32

32 is the correct answer.

Answer 2

Answer:

The number of elements in the power set of A is 32.

Step-by-step explanation:

Power set:

• Let there be a finite set A with $x$ number of elements.
• The set of all the possible subsets of A including the empty set is called the power set of set A.
• Power set is denoted by P(A).
• The number of elements of the power set of set A of $x$ elements is given by

        $n(P(A)) =2^x$

Given a finite set:

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

The number of elements in the set is,  $x=5$.

Thus, the number of elements in the power set of A is

$n(P(A)) =2^5$

             $=2\times 2\times 2\times 2\times 2=32$

Therefore, the number of elements in the power set of A is 32.

The correct answer is option 2.

For more problems:

https://brainly.in/textbook-solutions/q-power-set-set-1-2-1

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