Question 4
Five teachers predict the finish order of five classes $A,B,C,D,E$ in an examination, as in the table below. There are no ties. Two teachers each correctly predict exactly two classes’ ranks; the other three correctly predict none. Find the finish order.
| Teacher | First | Second | Third | Fourth | Fifth |
|---|---|---|---|---|---|
| 1 | A | B | C | D | E |
| 2 | E | D | A | B | C |
| 3 | E | B | C | D | A |
| 4 | C | E | D | A | B |
| 5 | E | B | C | A | D |
| Teacher | First | Second | Third | Fourth | Fifth |
|---|---|---|---|---|---|
| 1 | A | B | C | D | E |
| 2 | E | D | A | B | C |
| 3 | E | B | C | D | A |
| 4 | C | E | D | A | B |
| 5 | E | B | C | A | D |