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108年 - 108 國立中山大學_碩士班招生考試_資工系(甲組):離散數學#105776
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題組內容
3. Let
be sets from a universe
.
(b) Negate the result in part (a) to determine when
.
其他申論題
(a) there must be seven men and seven women?
#450324
(b) there must be at least eight men?
#450325
2.Verify that, for primitive statements and.
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(a) Write a quantified statement to express the proper subset relation .
#450327
4. (a) Consider an chessboard. It contains eighty-one squares and one square. How many squares?
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(b) Now consider an chessboard for some fixed . For , how manyke squares are contained in this chessboard?
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5. Let be a set of five positive integers the maximum of which is at most 9. Prove that the sums of the elements in all the nonempty subsets of S cannot all be distinct.
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6. Given a nonempty language , prove that if, then.
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7.(a) Find the coefficient of.
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(b) Find the coefficient offor .
#450334