Difference between revisions of "Mock AIME 1 Pre 2005 Problems/Problem 1"
m (will finish) |
(No difference)
|
Revision as of 12:00, 21 March 2008
Problem
Let denote the sum of all of the three digit positive integers with three distinct digits. Compute the remainder when is divided by .
Solution
We find the sum of all possible hundreds digits, then tens digits, then units digits. Every one of may appear as the hundreds digit, and there are choices for the tens and units digits. Thus the sum of the hundreds places is .
To finish later.
See also
Mock AIME 1 Pre 2005 (Problems, Source) | ||
Preceded by First question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |