Question

If U=all digits in our number system and A=x:x is a multiple of 3 then find n(A).

Answer 1

given

u= all digits in our number system

={0,1,2,3,4,5,6,7,8,9}

A=x:x is a multiple of 3

={0,3,6,9}

so,

n(A)=4

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Answer 2

Answer:

Therefore, n(A) = 4 for all the digits in our number system.

Step-by-step explanation:

Concept:

What is digits in our number system?

The most widely used number system is the decimal one, which uses the ten numbers 0, 1, 2, 3, 4, 5, 6, 7, and 9. All additional numbers are created using this set of ten digits. A number's position in the number determines a digit's value.

Types of Number Systems:

1. Binary number system
2. Octal number system
3. Decimal number system
4. Hexadecimal number system

Calculation:

Given, u= all digits in our number system

             ={0,1,2,3,4,5,6,7,8,9}

So, according to question A = x:x multiple of 3

                                                = {0,3,6,9}

Here, we can see that there are 4 digits in number system.

                                         n(A) = 4

Hence,  n(A) = 4 for all the digits in our number system.

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