What is the sum of all 4 digit numbers less L than 2000 formed by the digits 1 2 3 and 4 where none ...........

Math and Mental Ability Number System

What is the sum of all 4-digit numbers less L than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated ?

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Complete-Test, Previous year (2023)

7998

8028

8878

9238

- We're looking for the sum of all 4-digit numbers less than 2000.

- Digits available: 1, 2, 3, and 4, with no repetitions allowed.

- Only numbers starting with 1 can be less than 2000: 12__, 13__, 14__.

- Count possibilities for each starting combination:

- Starts with 12: Remaining digits 3 and 4, forms 1234, 1243 -> Sum = 1234 + 1243 = 2477.

- Starts with 13: Remaining digits 2 and 4, forms 1324, 1342 -> Sum = 1324 + 1342 = 2666.

- Starts with 14: Remaining digits 2 and 3, forms 1423, 1432 -> Sum = 1423 + 1432 = 2855.

- Total sum = 2477 + 2666 + 2855 = 7998.

- Correct option: 1, 7998.

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