Problem #PRU-104074

Problems Inclusion-exclusion principle Discrete Mathematics Set theory and logic Set theory

Problem

In the garden of Sandra and Lewis 2006 rose bushes were growing. Lewis watered half of all the bushes, and Sandra watered half of all the bushes. At the same time, it turned out that exactly three bushes, the most beautiful, were watered by both Sandra and Lewis. How many rose bushes have not been watered?