MathDB

In a test,

201

students are trying to solve

6

problems.We know that for each of

5

first problems, there are at least

140

students, who can solve it. Moreover, there is exactly

60

students, who can solve

6^{th}

problem. Show that there exist

2

students, such that two of them combined are able to solve all

6

question. (For example, number

1

1,2,3,4

and number

2

3,5,6

)

Problem Statement