Math CentralQuandaries & Queries


Question from rajiv, a student:

write the smallest 6-digit number using three different digits with 6 in the ten thousands place and 1 in the hundreds place

Hi Rajiv,

The number looks like

       6        1           

You want the number to be as small as possible and the most significant digit is the hundred thousands place so you want that digit to be as small as possible. It can't be zero or the number is only a five digit number and hence the hundred thousands place must be one. Thus you have

 1    6        1           

Thus far you have only used two different digits, 1 and 6.

Can you complete the problem now?

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