JBMO-SL 2018 C2
- Answer
A set of three-digit numbers has the following five properties:
(1) No number contains the digit 0 .
(2) The sum of the digits of each number is 9 .
(3) The units digits of any two numbers are different.
(4) The tens digits of any two numbers are different.
(5) The hundreds digits of any two numbers are different.
Find the largest possible value of .
Dataset text NuminaMath olympiads. Quoted with source.
Also JBMO 2018 Problem 2.
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