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112年 - 112 教育部公費留學考試試題：離散數學#125724
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題組內容
5. (24%) Let A={1,2,3,4} and B={x,y,z}.
B. (3%) How many functions f: A→B are there?
其他申論題
2. (10%) If three integers are selected, at random and without replacement, from {1,2,3,...,99,100}, what is the probability such that their sum is even ?
#534177
3. (10%) For three sets A,B, and C, please simplify the following set expression
#534178
4. (15%) For what base do we find that 251+445=1026.
#534179
A. (3%) List three functions from A to B.
#534180
C. (3%) How many functions f: A→B are one-to-one?
#534182
D. (3%) How many functions g: B→A are there?
#534183
E. (3%) How many functions g: B→A are one-to-one?
#534184
F. (3%) How many functions f: A→B satisfy f(1)=x?
#534185
G. (3%) How many functions f: A→B satisfy f(1)=f(2)=x?
#534186
H. (3%) How many functions f: A→B satisfy f(1)=x and f(2)=y?
#534187
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