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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}.
H. (3%) How many functions f: A→B satisfy f(1)=x and f(2)=y?
其他申論題
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
A. (3%) 0, 1, 0, 0, 0,...
#534188
B. (3%) 0, 1, 1, 1, 1,...
#534189
C. (3%) 0, 1, 2, 3, 4,...
#534190
D. (3%) 0, 1, 3, 6, 10,...
#534191
E. (4%) Use the above result 6D to find a formula for k.
#534192
7. (10%) The chromatic number of a graph is the minimum number of colors needed to label the vertices so that adjacent vertices receive different colors. Please determine the chromatic number of a bipartite graph.
#534193