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September 28th, 2009, 07:56 AM   #1
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Unique numbers that can be generated with 3 digits: 2 Qns

How many possible unique numbers can be generated using 3 digits? I would like to know how find this?

Which section of mathematics does this question pertain to : Permutations or Combinations ? (Is there such a thing called Combinations in mathematics?)
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September 28th, 2009, 08:18 AM   #2
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Re: Unique numbers that can be generated with 3 digits: 2 Qns

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Originally Posted by kiechle
How many possible unique numbers can be generated using 3 digits? I would like to know how find this?
# of choices for the first digit * # of choices for the second digit * # of choices for the third digit

You can get different answers depending on how you interpret the problem. For example, is 012 valid? What about 111?

Quote:
Originally Posted by kiechle
Which section of mathematics does this question pertain to : Permutations or Combinations ? (Is there such a thing called Combinations in mathematics?)
Elementary probability. Harder versions of the same problem would fall into Combinatorics.
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September 28th, 2009, 09:57 AM   #3
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Re: Unique numbers that can be generated with 3 digits: 2 Qns

Yes. Both 012 and 111 are valid. So, how many possible unique numbers can be generated using 3 digits?
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September 28th, 2009, 11:45 AM   #4
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Re: Unique numbers that can be generated with 3 digits: 2 Qns

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Originally Posted by kiechle
Yes. Both 012 and 111 are valid. So, how many possible unique numbers can be generated using 3 digits?
How many choices do you have for the first digit? If you can use only 3 and 5 for the first digit and only 7 for the second two, you have 2 * 1 * 1 unique numbers.
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September 28th, 2009, 09:44 PM   #5
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Re: Unique numbers that can be generated with 3 digits: 2 Qns

10*10*10
= 1000

it would also include: 000 as one of the 3-digit numbers.
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September 29th, 2009, 07:12 AM   #6
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Re: Unique numbers that can be generated with 3 digits: 2 Qns

Yes. If you want to include numbers like 000, 1000 is the correct answer.
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