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Write the following in symbols : Sachi...

Write the following in symbols :
Sachin will go out of station or will remain in his house and he will repair his radio.

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To write the statement "Sachin will go out of station or will remain in his house and he will repair his radio" in symbols, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Statements**: - Let \( P \) represent "Sachin will go out of station". - Let \( Q \) represent "Sachin will remain in his house". - Let \( R \) represent "He will repair his radio". 2. **Understand the Logical Connectives**: - The phrase "or" corresponds to the logical disjunction, denoted by \( \lor \). - The phrase "and" corresponds to the logical conjunction, denoted by \( \land \). 3. **Break Down the Statement**: - The statement can be broken down into two parts: - Part 1: "Sachin will go out of station" (represented by \( P \)). - Part 2: "Will remain in his house and he will repair his radio" (represented by \( Q \land R \)). 4. **Combine the Statements**: - The entire statement can be represented as: - \( P \lor (Q \land R) \) - This means "Sachin will go out of station or (he will remain in his house and he will repair his radio)". ### Final Symbolic Representation: The final representation of the statement in symbols is: \[ P \lor (Q \land R) \]
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