📘 logic, combinatorics
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Defective Ball 3Afb5B
1. **Problem Statement:**
You have $8$ balls, $7$ of which have the same weight, and $1$ is defective and lighter. You need to find the defective ball using exactly $2$ weighings.
Logic Permutations 5E59Ca
1. **Problem 3a:** Make a truth table for the statement $ (P \lor Q) \to (P \land R) $.
2. **Truth Table Setup:** We list all possible truth values for $P$, $Q$, and $R$, then comp