If set A has 15 elements, then
(i) Find the number of subsets of A.
(ii) Find the cardinality of power set of A, P(A).

Given that set \( A \) has 15 elements, let's solve the two parts of the problem:

### (i) Number of Subsets of \( A \):
The number of subsets of a set \( A \) with \( n \) elements is given by the formula:

\[
\text{Number of subsets} = 2^n
\

Explore how to calculate the number of subsets and the cardinality of the power set of a set with 15 elements. This problem involves set theory concepts, specifically the formula for calculating subsets. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

(i) Number of Subsets of $A$ :

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