所屬科目： 中山◆資工◆離散數學
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 .
4. (a) Consider an chessboard. It contains eighty-one squares and one square. How many squares?
(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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, for primitive statements 
and
.
.
.
chessboard. It contains eighty-one 
squares and one 
square. How many 
squares?
chessboard for some fixed 
. For 
, how manyke 
squares are contained in this chessboard?
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.
, prove that if
, then
.
.
for 
.
with 
. Prove that if 
and 
, then 
.