HSC Arts 12th Board ExamMaharashtra State Board
Share
Notifications

View all notifications

Using truth tables, examine whether the statement pattern (p ∧ q) ∨ (p ∧ r) is a tautology, contradiction or contingency. - HSC Arts 12th Board Exam - Mathematics and Statistics

Login
Create free account


      Forgot password?

Question

Using truth tables, examine whether the statement pattern (p ∧ q) ∨ (p ∧ r) is a tautology, contradiction or contingency.

Solution

No of rows = 2n=23 =8
No. of columns = m+ n=3+3= 6

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

In the last column, the truth values of the statement is neither all T nor all F. Hence, it is neither a tautology nor a contradiction i.e. it is a contingency.

  Is there an error in this question or solution?

APPEARS IN

 2016-2017 (March) (with solutions)
Question 2.1.1 | 3.00 marks

Video TutorialsVIEW ALL [1]

Solution Using truth tables, examine whether the statement pattern (p ∧ q) ∨ (p ∧ r) is a tautology, contradiction or contingency. Concept: Mathematical Logic - Truth Value of Statement in Logic.
S
View in app×