Quandaries and Queries
 


I seriously need to find out all the four digit combinations from 0 to 9!!! My name Is Emma Dibitt and I'm going into 8th grade and I'm a student!!!

emma



Hi Emma,

I assume that you mean all the four digit combinations of the digits 0,1,2...,9. I am certainly not going to write them all down for you but I can describe what they are.

You haven't made any restrictions so I can repeat digits like 8888, or 0023, or 0000. If you read them as "numbers" not just 4 digit combinations of digits then the smallest is 0 (written 0000), the next is 1 (written 0001), the next is 2 (written 0002),... the tenth is 9 (written 0009), the eleventh is 10 (written 0010),... and the last is 9999. So these are just the positive integers 0,1,2,...,9999 but written as four digit numbers with leading zeros. There are 10,000 of them which is why I am not going to write them all down for you.

Penny


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