HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
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# Solution for Examine whether the following logical statement pattern is tautology, contradiction or contingency. [(p → q) ∧ q] → p - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

ConceptMathematical Logic Statement Patterns and Logical Equivalence

#### Question

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

[(p → q) ∧ q] → p

#### Solution

Consider the statement pattern: [(p → q) ∧ q] → p

Thus the truth table of the given logical statement:   [(p → q) ∧ q] → p

 p q p → q (p → q) ∧ q [(p → q) ∧ q] → p T T T T T T F F F T F T T T F F F T F T

From the above truth table we can say that given logical statement: [(p → q) ∧ q] → p is contingency.

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#### APPEARS IN

2015-2016 (March) (with solutions)
Question 2.1.1 | 5 marks

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Solution for question: Examine whether the following logical statement pattern is tautology, contradiction or contingency. [(p → q) ∧ q] → p concept: Mathematical Logic - Statement Patterns and Logical Equivalence. For the courses HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General) , HSC Arts, HSC Commerce (Marketing and Salesmanship), HSC Commerce
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