Question

Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:

4! = 24.

Answer 1

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.