Problem #PRU-89953

Problems Methods Pigeonhole principle Pigeonhole principle (other) Discrete Mathematics Set theory and logic Mathematical logic Mathematical logic (other)
 10–12  1.0

Problem

In a vase, there is a bouquet of 7 white and blue lilac branches. It is known that 1) at least one branch is white, 2) out of any two branches, at least one is blue. How many white branches and how many blue are there in the bouquet?