The sum of all the 4-digit distinct numbers that can be formed with the digits

Question:

The sum of all the 4-digit distinct numbers that can be formed with the digits $1,2,2$ and 3 is:

 

  1. 26664

  2. 122664

  3. 122234

  4. 22264


Correct Option: 1

Solution:

Digits are $1,2,2,3$

total distinct numbers $\frac{4 !}{2 !}=12$.

total numbers when 1 at unit place is 3 .

2 at unit place is 6

3 at unit place is 3 .

So, sum $=(3+12+9)\left(10^{3}+10^{2}+10+1\right)$

$=(1111) \times 24$

$=26664$

 

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now