A list of 11 positive integers has a mean of 10, a median of 9, and a unique mode of 8. What is the largest possible value of an integer in the list?
Camy made a list of every possible distinct five-digit positive integer that can be formed using each of the digits 1,3,4,5 and 9 exactly once in each integer. What is the sum of the integers on Camy's list?