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September 28th, 2009, 07:56 AM  #1 
Newbie Joined: Sep 2009 Posts: 2 Thanks: 0  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?) 
September 28th, 2009, 08:18 AM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Unique numbers that can be generated with 3 digits: 2 Qns Quote:
You can get different answers depending on how you interpret the problem. For example, is 012 valid? What about 111? Quote:
 
September 28th, 2009, 09:57 AM  #3 
Newbie Joined: Sep 2009 Posts: 2 Thanks: 0  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?

September 28th, 2009, 11:45 AM  #4  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Unique numbers that can be generated with 3 digits: 2 Qns Quote:
 
September 28th, 2009, 09:44 PM  #5 
Newbie Joined: Sep 2009 Posts: 2 Thanks: 0  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 3digit numbers. 
September 29th, 2009, 07:12 AM  #6 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  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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