Mathematical Reasoning
Max number of simultaneously false compound propositions
MJMT_Full_Test_01
Grade 12
Question:
Maximum number of compound propositions from $p\wedge q\wedge r$, $p\wedge\sim q\wedge r$, $p\wedge q\wedge\sim r$, $\sim p\wedge q\wedge s$, $\sim p\wedge q\wedge s$, $q\wedge r\wedge s$, $q\wedge\sim r\wedge s$, $\sim q\wedge r\wedge\sim s$ that can be simultaneously false is
Step-by-Step Solution
Key Concept: Set $p=T,q=F,r=F,s=T$ and check how many propositions become false. Work through all 8 systematically.
9 propositions can be simultaneously false.
Correct Answer: 4