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Matematika Diskrit - Matematika Diskrit 1

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If set A has 3 elements, how many elements does the power set P(A) have?

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Which of the following arguments represents Modus Ponens?

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Which rule of inference is used in the following argument?

"Either I study math or I study history. I am not studying math. Therefore, I am studying history."

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According to De Morgan's Laws for quantifiers, which of the following is equivalent to ¬∀x P(x)?

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What is ⌊3.7⌋ + ⌈2.3⌉?

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In the Knights and Knaves puzzle, if A says "B is a knight" and B says "We are of opposite types," what are A and B?

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Which logical connective has the following truth table?

pq?
TTF
TFT
FTT
FFF
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Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. What is A ∩ B?

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Given premises: (1) p → q, (2) ¬q, what conclusion can be validly drawn using rules of inference?

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Which of the following correctly translates "Some student in this class has visited Mexico" into predicate logic, where the domain is all people, S(x) means "x is a student in this class", and M(x) means "x has visited Mexico"?

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