Step 1
Identify the definitions: A contradiction is always false, a tautology is always true, and a contingency can be either true or false.
Step 2
Evaluate option (A): \(p \wedge \sim p\) is always false (contradiction).
Step 3
Evaluate option (B): \(p \vee \sim p\) is always true (tautology).
Step 4
Evaluate option (C): \(p \vee q\) can be true or false depending on the values of \(p\) and \(q\), making it a contingency.
Final Answer:
C) \(p \vee q\)