Which of the following illustrates the truth value of the given conditional statement? if a week has seven days, then a year has twenty months. 1. t f -> f 2.t t -> t 3.f t -> t 4.f f -> f

1. T F ⇒ F

Step-by-step explanation:

The conditional statement is,

"If a week has seven days, then a year has twenty months."

Let, p-If a week has seven days and q-A year has twenty months

We have that 'p' is true and 'q' is false. Then, 'pq' is represented by 'T F'.

Since, the conclusion is,

'If a week has seven days, then a year has twenty months', which is not true.

Thus, p ⇒ q is false i.e. It is represented by F.

Hence, the truth value of the given statement is 'T F ⇒ F'.

answer:

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Step-by-step explanation: