MathDB
Problems
Contests
International Contests
CentroAmerican
2015 CentroAmerican
Problem 6
Problem 6
Part of
2015 CentroAmerican
Problems
(1)
CentroAmerican 2015 #6
Source: 2015 CentroAmerican Math Olympiad #6
6/27/2015
39
39
39
students participated in a math competition. The exam consisted of
6
6
6
problems and each problem was worth
1
1
1
point for a correct solution and
0
0
0
points for an incorrect solution. For any
3
3
3
students, there is at most
1
1
1
problem that was not solved by any of the three. Let
B
B
B
be the sum of all of the scores of the
39
39
39
students. Find the smallest possible value of
B
B
B
.
OMCC
combinatorics