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首頁 > 中山◆資工◆離散數學 > 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 >

4. (a) Consider an chessboard. It contains eighty-one squares and one square. How many squares?

其他申論題

(b) there must be at least eight men?

2.Verify that, for primitive statements and.

(a) Write a quantified statement to express the proper subset relation .

(b) Negate the result in part (a) to determine when .

(b) Now consider an chessboard for some fixed . For , how manyke squares are contained in this chessboard?

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.

6. Given a nonempty language , prove that if, then.

7.(a) Find the coefficient of.

(b) Find the coefficient offor .

8.Let with . Prove that if and , then .

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