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Determination of Significant Digits in a Number

The sum of th...

Question

The sum of the digits of a five digit positive integer is 2. What is the number of such integer?

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Solution

Well, it can only have a 2 and all the rest 0's, or two 1's and all the rest 0's. Assume the number can't start with 0.

The numbers are :

10001
10010
10100
11000
20000

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