Answer

Verified

387.9k+ views

**Hint:**So for answering this question, we have to know about the cardinal number. Cardinal numbers are those numbers having distinct elements in a finite set. It is generally denoted by $n\left( A \right)$ and it can be read as the number of elements in the set.

**Complete step-by-step answer:**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 $n\left( A \right) = 0$

**Hence, the option $\left( c \right)$ is correct.**

**Additional information:**

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.

**Note:**In the cardinal number, if the set is infinite then the cardinal number is not defined. So we can say that the cardinal number of an empty set will be equal to zero. It does not have fractions or decimals, it is only used for counting.

Recently Updated Pages

Cryolite and fluorspar are mixed with Al2O3 during class 11 chemistry CBSE

Select the smallest atom A F B Cl C Br D I class 11 chemistry CBSE

The best reagent to convert pent 3 en 2 ol and pent class 11 chemistry CBSE

Reverse process of sublimation is aFusion bCondensation class 11 chemistry CBSE

The best and latest technique for isolation purification class 11 chemistry CBSE

Hydrochloric acid is a Strong acid b Weak acid c Strong class 11 chemistry CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Name 10 Living and Non living things class 9 biology CBSE

The Buddhist universities of Nalanda and Vikramshila class 7 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE