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The Boolean Expression (p∧~q)∨q∨(~p∧q) is equivalent to:

1. p∨q
2. p∨~q
3. ~p∧q
4. p∧q

Correct answer: p∨q

Solution

(p AND ~q) OR q OR (~p AND q): the last term absorbs into q, leaving (p AND ~q) OR q = (p OR q) AND (~q OR q) = p OR q.

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