MathDB

Kolya and Vasya each have

8

cards with numbers from

1

8

(each has all the numbers from

1

8

). Kolya put

4

cards on the table, and Vasya put a card with a larger number on each of them. Now Vasya puts his remaining

4

cards on the table.
a) Can Kolya always put his own card with a larger number on each of Vasya’s cards?
b) Can Kolya always put on each of Vasya’s cards his own card with a number no less than on Vasya’s card?

Problem Statement