MathDB

39

students participated in a math competition. The exam consisted of

6

problems and each problem was worth

1

point for a correct solution and

0

points for an incorrect solution. For any

3

students, there is at most

1

problem that was not solved by any of the three. Let

B

be the sum of all of the scores of the

39

students. Find the smallest possible value of

B

Problem Statement