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MATH_163_Exam_2_FL2019_SOLVED.pdf - MATH 163 – Discrete...

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MATH 163Discrete Mathematics IFall 2019EXAM2SOLUTIONSPart IDo all of the exercises in this section. Each exercise is worth 2 points.For exercises 1 through 6, determine if the statement is true or false. Support your answer.1.For all finite setsAandB,𝜈(? ∪ ?) ≤ 𝜈(?) + 𝜈(?).
2.∀?, ? ⊆ 𝒰 (((? ⊆ ?) ∧ ?????(?)) → ?????(?)).
3.∀?, ? ∈ ℕ(?(?, ?) ≤ 𝑃(?, ?)).
4.(9253) = 0.
5.If?is a rational number and?is an irrational number, then?is an irrational number.??
6.If?books are distributed among?students, then at least one student has exactly𝑘⌉ ?????.𝑛𝑛
MATH 163Discrete Mathematics IFall 2019EXAM2SOLUTIONSPart IIDo all exercises in this part. Each exercise’s value is indicated. Show all work.6.Calculate the following. [2points eacha.𝑇(10, 4)= 104= 10,000].
7.Calculate the following. [2points each]

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Term
Fall
Professor
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Tags
Combinatorics, Rational number

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