Divisibility by 11 of a 9-digit integer.
Number Theory
Level
5
Michelle forms a 9-digit integer by arranging the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 in random order.
What is the probability that this integer is divisible by 11?
If the probability can be expressed as \(\dfrac ab\) for co-prime positive integers \(a\) and \(b\), find the value of \(a+b\).
by
Paul Fournier