卷別數學(A)選擇國立臺灣大學 2022 · 考試 · 第 5 題 考科離散數學(10%) RRR is a non-symmetric relation on AAA if there exist x,y∈Ax, y \in Ax,y∈A such that (x,y)∈R(x, y) \in R(x,y)∈R but (y,x)∉R(y, x) \notin R(y,x)∈/R. If ∣A∣=m|A| = m∣A∣=m, how many non-symmetric relations on AAA are there?(A)2(m2−m)/22^{(m^2-m)/2}2(m2−m)/2(B)2m2−2(m2+m)/22^{m^2} - 2^{(m^2+m)/2}2m2−2(m2+m)/2(C)3(m2−m)/23^{(m^2-m)/2}3(m2−m)/2(D)2(m2+m)/22^{(m^2+m)/2}2(m2+m)/2(E)2m2−m2^{m^2-m}2m2−m標準解析AI 生成顯示標準解析 上一題第 4 題第 6 題下一題
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