SOLUTION: Consider all 6-digit numbers consists of each of the digit 0 1 2 3 4 5 exactly once in some order. If they are arranged in ascending order, what is the 502nd number ? I got 504

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Question 1133155: Consider all 6-digit numbers consists of each of the digit 0 1 2 3 4 5 exactly once in some order. If they are arranged in ascending order, what is the 502nd number ?
I got 504231 but the book says 504321. Please help. Thanks

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Your answer is right. The answer in the book might just be wrong; probably it is a typographical error.

120 numbers each with leading digits 1, 2, 3, or 4: 480 numbers
6 numbers starting 501: 486 numbers
6 numbers starting 502: 492 numbers
6 numbers starting 503: 498 numbers
499th number: 504123
500th: 504132
501st: 504213
502nd: 504231

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