# SOLUTION: If the 3 digit positive integer n = ABC = AB + BA + AC + CA + BC + CB, compute the largest possible value for n. (Note: A, B, C are single digits from 0 to 9)

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: If the 3 digit positive integer n = ABC = AB + BA + AC + CA + BC + CB, compute the largest possible value for n. (Note: A, B, C are single digits from 0 to 9)      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 356934: If the 3 digit positive integer n = ABC = AB + BA + AC + CA + BC + CB, compute the largest possible value for n. (Note: A, B, C are single digits from 0 to 9)Answer by robertb(4012)   (Show Source): You can put this solution on YOUR website!The values of A, B, C are guided by the equation . We only need to consider i) odd values for B and even values for C, and ii) even values for B and even values for C. Only 3 ordered triples (A, B, C)will satisfy the constraint equation above: (2,6,4), (1,3,2), and (3,9, 6). Therefore the largest n is 396.