Question

if set a has 5 elements namely 12345 then find the number of elements in power set of a​

Answer 1

Answer:

where is {2,3,5}

you wrote 31 elements

Answer 2

Given: Set a has 5 elements namely 12345.

To find: The number of elements in power set of a​.

Solution: The number of elements in power set of a​ is 32.

A power set is a set of all subsets of a given set included the given set. When we need to calculate the number of elements in a power set, we find the value of 2 to the power of the number of elements in the given set. This can be written in the form of an equation as shown below.

$power = 2^{n}$

Here, n is the number of elements in the given set. In the given question, the value of n is 5. Thus, the number of elements in the power set of a​ is

$2^{5} = 32$

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