This popular puzzle can be represented as A ∨ B ∨ C and if Bill is her youngest child the resolution is B = ¬A ∨ ¬C
Most situations including some puzzles can be represented using logic symbols and relating the statements involved. Let's represent this puzzle.
There are three children: Alice, Bill, and Carl, they can be represented as A, B, C
The puzzle says only one of them is the youngest, this can be represented as:
- A ∨ B ∨ C ( V means "or")
Also, if Alice is the youngest then Bill is not the youngest
- A = ¬B (¬ is used for negation)
Similarly is Alice is not the youngest Carl is not the youngest can be represented as
Finally, if Bill is the youngest we can say
B = ¬A ∨ ¬C ( Billie is the youngest because Alice and Carl are not the youngest)
Learn more in: brainly.com/question/11766897