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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
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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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