Explanation
1. Find the Number of Elements:
The given set is:
A={a,b,c}
The elements of set A are a, b, and c. Therefore, the total number of elements (cardinality) of set A, denoted as n(A) or n, is:
n=3
2. Formula for Total Number of Subsets:
The fundamental formula to find the total number of subsets of a given finite set containing n elements is:
Total number of subsets=2n
3. Calculation:
Substitute n=3 into the formula:
Total number of subsets=23
23=2×2×2=8
