Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 15"
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Revision as of 14:47, 24 July 2006
15. Let be the set of integers
. An element
(in) is chosen at random. Let
denote the sum of the digits of
. The probability that
is divisible by 11 is
where
and
are relatively prime positive integers. Compute the last 3 digits of