Answer:
a) 8 subsets
b) 32 subsets
Step-by-step explanation:
The total number of subset of a set is known as the power of the set
Power of a set is expressed as;
P = 2^n
n is the number of element in the set
a) For a set containing 3 elements
n = 3
Power of the set = 2³
Power of the set is 8
This means that the set contains 8 different subsets
b) Cardinality of a set is the total number of element in the set
If the cardinal number of a set is 5, this means that the set contains 5elements
Hence the power of the set will be;
P = 2^5
P = 32
Hence the total number of subset for set whose cardinal number is 5 is 32
