MathDB
Problems
Contests
National and Regional Contests
Peru Contests
Peru Cono Sur TST
2020 Peru Cono Sur TST.
P1
P1
Part of
2020 Peru Cono Sur TST.
Problems
(1)
Students visit library with conditions
Source: Peru Ibero+Cono TST 2020 P1
9/11/2023
In a classroom there are
m
m
m
students. During the month of July each of them visited the library at least once but none of them visited the library twice in the same day. It turned out that during the month of July each student visited the library a different number of times, furthermore for any two students
A
A
A
and
B
B
B
there was a day in which
A
A
A
visited the library and
B
B
B
did not and there was also a day when
B
B
B
visited the library and
A
A
A
did not do so. Determine the largest possible value of
m
m
m
.
combinatorics