MathDB

The fox and pinocchio have grown a tree on the field of miracles with

8

golden coins. It is known that exactly

3

of them are counterfeit. All the real coins weigh the same, the counterfeit coins also weigh the same but are lighter. The fox and pinocchio have collected the coins and wish to divide them. The fox is going to give 3 coins to pinocchio, but pinocchio wants to check whether they all are real. Can he check this using

2

weighings on a balance scale with no weights?

Problem Statement