The Eleven Problem
Jonathan hated emptying the trash. He whined and complained and made up lots of excuses, but his mom still made him empty it because it was his job. Finally one day his mom got tired of listening to him and made him a deal. She said, "You can be excused from emptying the trash one time for each solution you can find to this puzzle."
- I am a three-digit number
- I am made up of three different numerals
- I am divisible by eleven
If you were Jonathan, how many times would you be excused from emptying the trash?
PLEASE ELLOBRATE FIND THE SOLUTION AND EXPLAIN HOW TO DO IT IN AS MUCH DETAIL POSSIBLE!! (LOTS OF POINTS)