To solve this problem, we need to analyze the given information logically:
- The students E-1, E-2, and E-3 each start and complete their assignments at different times.
- The number in their designation (E-1, E-2, E-3) is not the same as their order of starting or completing the assignment.
- The last student to start is the first to complete the assignment.
Let's determine the starting order of the students:
- If E-1 were the first to start, then he can't be the first to complete since it would violate the rule regarding the numbers and their positions. If he were to complete last, E-3 would start last, which contradicts E-3 completing first since E-1 is starting first. This causes inconsistency.
- If E-2 were the first to start, we face a similar contradiction because E-2 can't also be the first to complete owing to the number and position mismatch, and similar constraints apply for his completion order.
- Therefore, E-3 must be the one to start first. This leaves E-1 and E-2 to start later.
By elimination:
- E-3 starts first.
- Given E-3 starts first, they cannot finish last. That means E-1 and E-2 must finish later.
- Due to the constraint that the last to start finishes first, E-1 must start last and therefore finish first.
Conclusion: E-3 is the first student to start writing the assignment.