the cardinal number of a finite set is always a whole number. justify with examples
Answers
Step-by-step explanation:
Before starting, we have to understand what is cardinal number. Cardinal number is the number of elements or members in the given set. Cardinal number of a set 'A' is denoted by n(A).
We know that, there can also exist empty set.
Let A= { }. Then, it is an empty set. It has no elements. Thus, its cardinal number,n(A) is zero. It is also a finite set.
If B= { a}, then it is a finite set and contains only one element. So, its cardinal number,n(B) = 1
If X= { 0,1,2,3,4,5}, then it is finite and has six elements so that it cardinal number becomes n(X) = 6 and so on.
From above, it is clear that the cardinal number of a finite set starts from 0 and goes on increasing similar to whole number because it starts from 0 and goes on increasing as {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,.........}.