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Let A be a set with |A|=n, and let R be a relation on A that is anti-symmetric. (a) What is the maximum value for |R|? (b) How many anti-symmetric relations can have the size? Ans: ^^^^^^^^^^^^^^^^^^ (a) n*(n+1)/2 (b) 請問什麼叫做"can have the size"? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.160.180.232
huming103:可以跟第一題一樣大小的anti-symmetric有幾種 03/12 11:43
james1815:(b):2^(n*(n-1)/2) 對角線必選,而對角線以外選一個 03/12 14:28
Lautreamont:恩 我了解了 謝謝 03/12 14:37