LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

CARDINAL NUMBER SET

__Cardinal Number of a Set__

**The cardinal number
of a finite set A is considered when the numbers of distinct members of the set and it is being denoted by n(Z). The cardinal number of the empty set φ zero ‘0’, because φ has
zero members. So, n (φ) = 0, and the cardinal number of an infinite set can’t be found because, this kind of set has countless members.**

**If the set ‘Z’ is
written in tabular form, as shown –**

**Example – 1) If Z = {
-5,-4, -3, -2, -1, 0, 1, 2, 3, 4 }, **

**
then n(Z) = 10 **

**If Z = [ x/x is
a letter of the word BANGALORE ],**

**Tabular form, Z = {
B, A, N, G, L, O, R, E }**

** So, n(Z) = 8**

**If ‘Z’ is a set and
if n(Z) = 1, we call the set ‘Z’ a Singleton Set**

**If, n(Z) = 2, we can
call set ‘Z’ is Pair set**