Answer :
Answer: None
Step-by-step explanation:
In order to find which statement would produce a tautology, we can use truth tables. Tautology is when the outcome is always true, or all true.
Note: ~ is the same as ¬. For clarity purposes, I will use ¬. It's hard to create a table on Brainly, so pretend the lines are all connected.
A: P∧¬Q
P | Q | ¬Q | P∧¬Q
T | T | F | F
T | F | T | T
F | T | F | F
F | F | T | F
This is not tautology.
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B. P∨Q
P | Q | P∨Q
T | T | T
T | F | T
F | T | T
F | F | F
This is not tautology.
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C. P∨¬Q
P | Q | ¬Q | P∨¬Q
T | T | F | T
T | F | T | T
F | T | F | F
F | F | T | T
This is not tautology.
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D. Q∨¬P
Q | P | ¬P | Q∨¬P
T | T | F | T
T | F | T | T
F | T | F | F
F | F | T | T
This is not tautology.
Now, we know that none of these statements would produce a tautology.