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Question

The sum of all numbers grater than 10000 formed by using the digits 1,3,5,7,9 no digit being repeated in any number is

A
4666600`
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B
5666600
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C
6666600
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D
None of these
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Solution

The correct option is B 6666600
All the numbers are of 5 digits.
The number of numbers having 1 in unit's place = number of arrangement of the remaining 4 digits =4P4=24
Similarly, for other digits also each digit occurs 24 times in units place.
So the sum of digits in unit's place for all numbers=24×1+24×3+24×5+24×7+24×9=600
Similarly, the number of digits in each of the other places=600
Thus the required sum=600×10000+600×1000+600×100+600×10+600×1=6666600


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