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

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

Solution

Digits are 1, 2, 2, 3

total distinct numbers 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)103+102+10+1

=(1111)×24

=26664

Asked in: JEE Main 2021 (18 Mar Shift 1)

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