A Puzzle — “One Through Five”
Here’s a puzzle, from (believe it or not) WhiteHouseKids.gov
One Through Five
- Consider all five-digit numbers formed by using the digits 1, 2, 3, 4, and 5 once and only once in each number formed. What is the sum of all of these five-digit numbers?
You can punch your answer in at the site above to see if you got it right. My questions for my readers are:
- Do you think this problem is appropriate for middle schoolers? (I do, though maybe not quite this early in the year.) They (the originating website) have it listed as an “Open Challenge” which they seem to be rating as harder than their elementary, middle and high school problems.
- What hints would you give if they were stumped by it?
- How many different approaches to solving this problem can you think of?