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प्रश्न
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
4! = 24.
उत्तर
It is a statement which is true, hence its truth value is ‘T’.
Logical statement:
The sentence 4! = 24 is a declarative sentence that can be verified as true or false.
Mathematical solved:
The factorial of 4, denoted as 4!, is calculated as:
4! = 4 × 3 × 2 × 1 = 24
Thus, the sentence 4! = 24 is true.
Justification:
It satisfies the definition of a logical statement (a declarative sentence with a definite truth value), and the mathematical calculation confirms its truth.
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