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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 - Mathematics

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प्रश्न

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

विकल्प

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उत्तर

3

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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 14 | 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 ∧ ¬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 v q


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

19 is not a prime number and all the angles of a triangle are 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.

It is not true that 5 + 5 = 9 or Earth is a planet


Which one of the following sentences is a proposition?

4 + 7 = 12


Which one of the following sentences is a proposition?

What are you doing?


Write the converse, inverse, and contrapositive of the following implication.

If x and y are numbers such that x = y, then x2 = y2


Write the converse, inverse, and contrapositive of the following implication.

If a quadrilateral is a square then it is a rectangle


Construct the truth table for the following statement.

¬(P ∧ ¬q)


Construct the truth table for the following statement.

(p v q) v ¬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 and q → p are not equivalent


Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table


Choose the correct alternative:

The operation * defined by a * b = `"ab"/7` is not a binary operation on


Choose the correct alternative:

Which one of the following statements has the truth value T?


Choose the correct alternative:

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


Choose the correct alternative:

The truth table for (p ∧ q) v ¬q is given below

p q (p ∧ q) v ¬q
T T (a)
T F (b)
F T (c)
F F (d)

Which one of the following is true?


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