POTW

Matrix Height Problem

Ten people are finalists in a talent contest. For the final judging, they are lined up in order of the tallest to the shortest. Where does each person stand?

1. Maria is standing next to Bill.

2. Ray is taller than Josh, who is standing next to Kim, who is shorter.

3. Bill is the tallest person.

4. Larry is taller than Kim, and they are both taller than Ruth.

5. No one is standing between Larry (the taller) and Abby.

6. No one is standing between Frances and Maria.

7. Abby is shorter than Abe, who is also shorter than Frances.

8. Abe is taller than Larry, who is taller than Ray; they are all taller than Kim.