MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
18
18
Part of
2015 India PRMO
Problems
(1)
PRMO 2015. p18.
Source:
4/9/2024
18.
18.
18.
A subset
B
B
B
of the set of first
100
100
100
positive integers has the property that no two elements of
B
B
B
sum to
125.
125.
125.
What is the maximum possible number of elements in
B
?
B ?
B
?
combinatorics
number theory