Question

If n (A) = 4, find n (P(A))​

Answer 1

Answer: n(P(A)) = 16

Step-by-step explanation:

n(A) = 4

P(A) = Set of all subsets of A

We can find n(P(A)) = 2^n  (where n = number of elements of A = 4.)

n(P(A)) = 2^4 = 16

Hope it helps you.

Answer 2

If n(A) = 4, then n(P(A)) = 16

Given :

n(A) = 4

To find :

n(P(A))

Concept :

If a set A contains n elements then the number of subsets of A $\sf = {2}^{n}$

Solution :

Step 1 of 2 :

Write down the number of elements in A

Here it is given n(A) = 4

So number of elements in A = 4

Step 2 of 2 :

Find the value of n(P(A))

We know that if a set A contains n elements then the number of subsets of A $\sf = {2}^{n}$

By the given condition n = 4

Hence n(P(A))

= Number of elements in power set of A

= Number of subsets of A

$\sf = {2}^{4}$

= 16

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