Question

If the set A contains 3 elements, then the number of elements in the power set of P(A) is equal to​

Answer 1

Answer:

8 elements

Step-by-step explanation:

If a set ‘A’ contains ‘n’ elements, then the number of elements in the power set of A would be equal to 2ⁿ.

Writing it mathematically,

• A = n elements
• P(A) = 2ⁿ elements

Applying this concept; set A contains 3 elements.

So, the power set of A contains 2³ elements.

∴ Number of elements = 2³ = 8 elements.

KNOW MORE:

A set is a collection of different elements. There are 2 ways of representing a set:

• Roster form
• Set builder form