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Part of 2005 Paraguay Mathematical Olympiad

Problems(1)

3 3-digit numbers with sum of digits 17 - OMAPA Paraguay 2005.1

Source:

With the digits

1, 2, 3,. . . . . . , 9

three-digit numbers are written such that the sum of the three digits is

17

. How many numbers can be written?

number theorysum of digits