Solution: Among the 46 students in this class, according to the number of subjects they like, there are five kinds of students: none of the four subjects, 1 subjects, two subjects, three subjects and all four subjects. Because the number of people who like each class is known, the total number of favorite subjects is certain, which is 35+35+38+40= 148 in this question. If the total number of subjects that students don't fully like is A, the total number of subjects that students fully like is X, and the total number of subjects that they like is 4x, then a+4x= 148. Obviously, to minimize x, a must be the largest. Only when the number of students who like three subjects is the largest, A will be the largest. So, suppose the number of students who like three subjects is 46-x, then

4x+(46-x)*3= 148

X= 10 (person)

46 x = 36 (person)

However, because there are 35 students who like two subjects in four subjects, it is impossible for 36 students to like three, so at least 1 person likes two subjects at most, so it can be assumed that 45-x likes three subjects and 1 likes two subjects. rule

4x+(45-x)* 3+ 1 * 2 = 148

X= 1 1 (person)

So at least 1 1 people like all four doors, and among the remaining 35 people, 34 people like three doors, and 1 people like two doors.