Quandaries and Queries


Hello, I sure hope you can answer this question. I got into a discussion at work about how many possible combinations there are for a four digit number using the numbers 0 through 9. This was in reference to a discussion about the lottery. I said there was only 10,000 possible combinations. My friend said that there was many times more, but he could not remember how to figure it out. The answer and the formula would be greatly appreciated. Thanks for your help.

Sincerely Rob



Hi Rob,

You are correct. You have ten choices for the first digit, and whatever digit you choose you have ten choices for the second digit, and whatever the first two digits you choose you have 10 choices for the third digit, ...

Hence for a four digit number there are

10 10 10 10 = 10,000 possibilities.



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