MathDB

Candies of various types

Source: Kvant Magazine No. 3 2022 M2690

March 8, 2023

combinatoricsKvant

Problem Statement

Vasya has

n{}

candies of several types, where

n>145

. It is known that for any group of at least 145 candies, there is a type of candy which appears exactly 10 times. Find the largest possible value of

n{}

.
Proposed by A. Antropov