Exam 7: Logic, Sets, and Counting

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Use the Venn diagram to find the requested set: -Find A' \cap B'.  Use the Venn diagram to find the requested set: -Find A'  \cap  B'.

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Tell whether the statement is true or false: -0 \notin ϕ\phi

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Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{3, 0, 8} \in A

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Construct a truth table to determine whether or not the following implication is true: Construct a truth table to determine whether or not the following implication is true:

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License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?

(Multiple Choice)
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Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a contradiction: (q ∨ p) ∧ ~q.

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Use the Venn diagram to find the requested set: -Find A. Use the Venn diagram to find the requested set: -Find A.

(Multiple Choice)
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Use the addition principle for counting to solve the problem: -If n(B) = 24, n(A \cap B) =5, and n(A \cup B) = 42, find n(A).

(Multiple Choice)
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Use the Venn diagram to find the requested set: -Find A \cap B.  Use the Venn diagram to find the requested set: -Find A  \cap  B.

(Multiple Choice)
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Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{9} \subset A

(True/False)
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Evaluate: -Evaluate: -

(Multiple Choice)
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