Hey there I need some help with this math problem.

In a class with 24 students the students are polled and asked how many members of the class they are friends with. The result of the poll is as follows: Three said they are friends with 4 people in the class; four said they are friends with 5 people in the class; six said they are friends with 7 people in the class; seven said they are friends with 9 people in the class; and four said they are friends with 11 people in the class Explain why some student most have miscounted their number of friends.

I understand how this works conceptually, but am hoping someone can guide and explain each step to me on how to go about solving this problem as a proof thanks.