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Sum of distinct digit number (Posted on 2024-03-28) Difficulty: 2 of 5
Find the sum of all of the three digit positive integers with three distinct digits.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (1 votes)

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Puzzle Thoughts | Comment 2 of 4 |
Let us consider a number having 1 as one of its digits. Then, clearly  the 100s place will contain  9*8=72 ones. The 10s , and the unit place will each consist of 8*8=64 1s
Threfore, the required sum:
= 7200( sum of 1 to 9 ) + 640(sum of 1 to 9) +64( sum of 1 to 9)
= 45(7200+640+64) 
=355,680

Edited on March 28, 2024, 9:03 am
  Posted by K Sengupta on 2024-03-28 08:14:27

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