Of Sets and Sums
Discrete Mathematics
Level
4
Consider the set \( \lbrace{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\rbrace}\).
For each of its subsets, let \( M \) be the greatest number. Find the last three digits of the sum of all the \( M \)'s.
Assume that \(0\) is the greatest number of the empty subset.
by
Owen Mireles