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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
6. (16%) Find the generating function for the following sequences:
A. (3%) 0, 1, 0, 0, 0,...
其他申論題
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
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
(1) 藜麥的花公式為何?(花公式代號:K代表花萼、C代表花冠、A代表雄蕊群、G代表雌蕊群、P代表花被)
#534194