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Choose the correct alternative: If a compound statement involves 3 simple statements, then the number of rows in the truth table is

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प्रश्न

Choose the correct alternative:

If a compound statement involves 3 simple statements, then the number of rows in the truth table is

विकल्प

  • 9

  • 8

  • 6

  • 3

MCQ
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उत्तर

8

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Mathematical Logic
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Discrete Mathematics - Exercise 12.3 [पृष्ठ २५०]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 12 Discrete Mathematics
Exercise 12.3 | Q 10 | पृष्ठ २५०

संबंधित प्रश्न

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

¬p v q


Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

p → ¬q


Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

p ↔ q


Write the following sentences in symbolic form using statement variables p and q.

19 is a prime number or all the angles of a triangle are not equal


Write the following sentences in symbolic form using statement variables p and q.

19 is a prime number and all the angles of a triangle are equal


Determine the truth value of the following statement.

If 6 + 2 = 5, then the milk is white.


Which one of the following sentences is a proposition?

What are you doing?


Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N


Construct the truth table for the following statement.

¬P ∧ ¬q


Construct the truth table for the following statement

(¬p → r) ∧ (p ↔ q)


Verify whether the following compound propositions are tautologies or contradictions or contingency.

(p → q) ↔ (¬p → q)


Show that ¬(p → q) ≡ p ∧¬q


Show that ¬(p ↔ q) ≡ p ↔ ¬q


Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table


Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent


Choose the correct alternative:

Which one is the inverse of the statement (p v q) → (p ∧ q)?


Choose the correct alternative:

Which one is the contrapositive of the statement (p v q) → r?


Choose the correct alternative:

In the last column of the truth table for ¬(p v ¬q) the number of final outcomes of the truth value ‘F’ is


Choose the correct alternative:

Which one of the following is incorrect? For any two propositions p and q, we have


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