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4. [10 marks] There are three bags one of which contains gold and the other two are empty. Each bag has imprinted on it a clue as to its contents, the clues are: Bag 1 The gold is not here Bag 2 The gold is not here Bag 3 The gold is in Bag 2 Only one message is true; the other two are false. Which bag has the gold? Formalize the puzzle in Propositional Logic and find the solution using a truth table.

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Bag2: The geldig rot Reve _② oig T and ②a@are F ignotvaid Assurne eig ou. A ⓘa@a e F. Assume ② ig Taud Õh@are Falga (F)

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