Maharashtra State BoardHSC Arts 12th Board Exam
Advertisement Remove all ads

Examine whether the following statement pattern is a tautology or a contradiction or a contingency. (p ∧ q) → (q ∨ p) - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
MCQ
Sum

Examine whether the following statement pattern is a tautology or a contradiction or a contingency.

(p ∧ q) → (q ∨ p)

Options

  • Tautology

  • Contradiction 

  • Contingency

Advertisement Remove all ads

Solution

p q p ∧ q q ∨ p (p ∧ q) → (q ∨ p)
T T T T T
T F F T T
F T F T T
F F F F T

All the entries in the last column of the above truth table are T.

∴ (p ∧ q) → (q ∨ p) is a Tautology.

Concept: Statement Patterns and Logical Equivalence
  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×