3. Before you sit three chests – one made of wood, one of stone,and one of steel. You know that one of the chests contains a greattreasure, while the other two contain vicious, angry, man- eating,deadly poisonous scorpions (also known as scorpions). On each chesthangs a sign, giving you information about which chest contains thetreasure. Problem is, you do not know which signs are true andwhich are false. The signs read: Wood chest: If the sign on thestone chest is true, then the treasure is not in the steel chest.Stone chest: Exactly two of these signs are false. Steel chest: Thetreasure is in a chest with a false sign. Which chest contains thetreasure? Prove your answer is correct.