Required Mathematical Intelligence

Chapter 29 Guess the ranking

In a mathematics competition, 5 students A, B, C, D, and E won the top 5.They wanted to know the specific ranking of each classmate, so they asked the teacher together.The teacher said: "Don't worry, you can guess first. But each person can only guess the ranking of 2 people." The results of the five students' guesses are:

A said: "B is third, C is fifth."

B said: "Ding is second, E is fourth."

C said: "A first, E fourth."

Ding said: "C is first, and B is second."

E said, "Ding is second, and A is third."

After the students finished guessing, the teacher smiled and said: "You are very good at answering questions, but not good at guessing questions. Each of you only guessed half of the questions correctly." After the teacher finished speaking, the students knew the result after a little analysis. .Do you know the result now?

[答案：此题分析起来比较复杂，故仅给出结果：No.1：丁；No.2：乙；No.3：甲；No.4：戊；No.5：丙。]
(End of this chapter)