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  3. 1．234 1．243 1．324 . . . . . . +4．321 The addition problem above shows four of th

1．234 1．243 1．324 . . . . . . +4．321 The addition problem above shows four of th

游客2024-01-13  25
问题 1．234 1．243 1．324 . . . . . . +4．321 The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1，2，3，and 4 exactly once in each integer． What is the sum of these 24 integers?
选项 A、24．000
B、26．664
C、40，440
D、60，000
E、66，660
答案 E
解析 Each digit 1,2, 3, and 4 will appear six times in each of 1,000s place, 100s place, 10s place, and units place. Since 1+2 + 3 + 4= 10,it follows that the sum of the 24 integers is (6)(10)(1,000) + (6)(10)(100) + (6)(10)(10) + (6)(10)(1) = 66,660.
The correct answer is E.
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