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National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
18
PRMO 2015. p18.
PRMO 2015. p18.
Source:
April 9, 2024
combinatorics
number theory
Problem Statement
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
?
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