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109年 - 109 國立高雄大學_碩士班招生考試_資訊工程學系:離散數學#103285
> 申論題
7. (8%) Consider the students of a class. Let R is the relation that x R y if x and y live in a same hometown. Determine whether R is reflexive, symmetric, antisymmetric, or transitive.
相關申論題
(a) 6 digits (0 to 9)
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(b) 6 distinct digits (0 to 9) , for example, 521467 or 216098?
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(c) 6 strictly increasing digits (0 to 9), for example, 014679 or 134689?
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(d) 6 increasing digits (0 to 9), for example, 011467 or 111344?
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(e) 6 digits (0 to 9) of which the sum is 9, for example, 321103 or 110044?
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(f) 6 digits (0 to 9) of which the sum is 20, for example, 326702 or 117344?
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2. (10%) Show that is always true.
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a) All students go to school.John is a studentTherefore John goes to school.
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(b) All citizens pay their taxes. Tom pays his taxes. Therefore Tom is a citizen.
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(c) All people who are concerned about the environment recycle their plastic containers. Margarita is not concerned about the environment. Therefore Margarita does not recycle her plastic containers.
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109年 - 109 國立高雄大學_碩士班招生考試_資訊工程學系:離散數學#103285
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