Question

if n(A)=2 then n(p(p(A)) is​

Answer 1

Answer:or any confusion see the image.

4

Step-by-step explanation:

The formula for finding power set is

The formula for finding power set is..if A is a set with n(A) = m then

The formula for finding power set is..if A is a set with n(A) = m thenn{P(A)} = 2^m.

The formula for finding power set is..if A is a set with n(A) = m thenn{P(A)} = 2^m.Here m=2 then n{P(A)}= 2^2 = 2×2=4.

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Answer 2

The correct answer is n(p(p(A)) = 16.

Given:

n(A) = 2.

To Find:

n(p(p(A)) = ?

Solution:

To solve this problem, we need to know the following concepts:

1. A set is a collection of elements written inside curly braces and separated by commas. A set is usually denoted by a capital letter.

2. The number of elements of a set A is denoted by n(A).

3. The power set of a set A is the set of every subset of A, including A itself. If set A has 'm' elements, then the number of elements of the power set A, P(A) = $2^{m}$.

We are given a set A having 2 elements, i.e. n(A) = 2 and we need to find the number of elements in the power set of the power set of A.

Number of elements in the power set of A, p(A) =   $2^{m}$ = 2² = 4

Now, the number of elements in the power set of the power set of A,

n(p(p(A)) = n(p(4) = $2^{4}$ = 16.

The correct answer is n(p(p(A)) = 16.

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