Problem #PRU-88234

Problems Discrete Mathematics Set theory and logic

Problem

In the first pencil case, there is a lilac pen, a green pencil and a red eraser; in the second – a blue pen, a green pencil and a yellow eraser; in the third – a lilac pen, an orange pencil and a yellow eraser. The contents of these pencil cases are characterised by such a pattern: in every two of them exactly one pair of objects coincides in color and purpose. What should lie in the fourth pencil case, so that this pattern is preserved? (In each pencil case, there are exactly three objects: a pen, a pencil and an eraser.)