[集合] 集合相等問題

[armopen]

已知 A = {1 2, 2c}, B = {a, b, c}, 若 A = B, 求數對 (a,b,c).

答： (1,4,2), (2,2,1), (4,1,2), (1,2,1), (1,2,0), (2,1,1), (2,1,0)

討論了好幾次都會漏掉某些答案，想請問如何才能有系統的得到所有的答案呢？謝謝

[thepiano]

(1) c = 2c = 0，A = {1，2，0}，B = {a，b，0}

(2) c = 1，A = {1，2}，B = {a，b，1}

(3) c = 2，A = {1，2，4}，B = {a，b，2}