CLASS-8
CARDINAL NUMBER OF FINITE SET

Cardinal Number of a Finite Set 

It has been told that, the Cardinal number of a finite set A is the number of distinct elements in the set A, and it is denoted by n(A).

Example– 1)

a)  A = { week of a year }

  There are 52 weeks in a year.

 n(A) = 52  or the cardinal number of the set A = 52

Example-2)

If A = { x, y, z }  and  B = { p, q, r, s } then n(A) = 3  and  n(B) = 4

 It is not possible to define the cardinal number of an infinite set, the cardinal number of the empty set φ is zero, as φ has no element, or n(φ) = 0, the cardinal number of a Singleton set is 1. For example, if A = { the present president of USA } then n(A) = 1.