Question

if number of elements in the power set is 32 then find the number of elements in the given A​

Answer 1

Answer:

2⁵=32

n=5

hence,No. of elements in the given A=5

Answer 2

Answer:

The number of elements in set A is 5.

Explanation:

Given:

Number of elements in power set P(A) = 32

To find:

Number of elements in set A (n)

Solution:

We know that the number of elements in a power set is given by 2 to the power of the number of elements in the given set. Therefore,

$P(A) = 2^n$

Substituting the given value of P(A), we get

$32 = 2^n$

$2^5 = 2^n$

n = 5

Therefore, the number of elements in the given set A is 5.

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