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  • Solve! The number of numbers between 2,000 and5,000 that can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is notallowed) and are multiple of 3 is :

The number of numbers between 2,000 and
5,000 that can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is not
allowed) and are multiple of 3 is :

  • Option 1)

    24

  • Option 2)

    30

  • Option 3)

    36

  • Option 4)

    48

 

Answers (2)

best_answer

 

 

As we have learned

Number of Permutations with repetition -

The number of ways of filling r places where each place can be filled by any one of  n objects.

It is n^{r}

- wherein

Where r\geq 0

 

4 digit number 

3\times 3\times 2\times 1=18

using 0,2,3,4

2\times 3\times 2\times 1=12

using 0,1,2,3  

Total number = 30

 

 

 


Option 1)

24

This is incorrect

Option 2)

30

This is correct

Option 3)

36

This is incorrect

Option 4)

48

This is incorrect

Posted by

Himanshu

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