Math CentralQuandaries & Queries


cary, a student:

I need a list of all possible 5 digit number combinations from 1 to 20 and no repeats. and a formula of how to calculate this would also be helpful?

Hi Cary,

There is no formula for generating a list of all possible 5 digit number combinations. The one digit numbers are 0-9 and teh two digit numbers are 10-20. Using the numbers 1-20, there are three situations that can fufill this scenario: 5 one digit numbers, 1 two digit number and 3 one digit numbers and 2 two digit numbers and 1 one digit number. It is fairly simple to calculate the number of combinations with no repetition. You can calculate for each situation then add them together to find out the total amount.

Hope this helps,


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