Problem #PRU-103803

Problems Set theory and logic Algorithm Theory Algorithm Theory
 10–12  2.0

Problem

Three people A, B, C counted a bunch of balls of four colors (see table).

image

Each of them correctly distinguished some two colors, and confused the numbers of the other two colours: one mixed up the red and orange, another – orange and yellow, and the third – yellow and green. The results of their calculations are given in the table.

How many balls of each colour actually were there?