Questions & Answers

Question

Answers

\[\left( a \right){\text{ 2}}\]

\[\left( b \right){\text{ 1}}\]

\[\left( c \right){\text{ 0}}\]

\[\left( d \right){\text{ None of these}}\]

Answer

Verified

92.4k+ views

As in the question it is given that there is an empty set which means there will not be any element in that set. And mathematically it can be written as

Set $A = \left\{ {} \right\}$

Since there is no element in the set. Therefore, we can say that the cardinal number of set $A = 0$ and it will be written as $n\left( A \right) = 0$

There are mainly three different forms of numbers, the first one cardinal number. The second one is the ordinal number. So ordinal numbers are those numbers which tells us the position of something in the list.

And the last form is nominal numbers. So the nominal numbers are those numbers which are used only as a name or we can say to identify something. Which will not be as actual value or position.

For example, if a figure showing the car and the number of the car is $6$ and the car number $99$ has a red roof and it is at ${1^{st}}$ position. Then $6$ will be the cardinal number and ${1^{st}}$ will be the ordinal number and $99$ will be the nominal number.