题目信息

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?
A:24,000
B:26,664
C:40,440
D:60,000
E:66,660
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已选答案:
正确答案:
E:66,660
Arithmetic Place value
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.
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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