FIND THE NUMBER OF SUBSETS FOR SET A) CONTAINING 3 ELEMENTS

B) WHOSE CARDINAL NUMBER IS 5

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