Solve 4-Digit Numbers w/ Same Digit Repeated Twice & Thrice

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Discussion Overview

The discussion revolves around finding the number of 4-digit numbers that have the same digit repeated twice and those that have the same digit repeated three times. The scope includes combinatorial reasoning and counting methods rather than statistical analysis.

Discussion Character

  • Exploratory, Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses a lack of experience in statistics and seeks help in solving a combinatorial problem regarding 4-digit numbers with repeated digits.
  • Another participant suggests that the problem can be approached combinatorially and mentions the total number of 4-digit numbers as 10C4.
  • A participant outlines specific patterns for numbers with a digit repeated twice, indicating the need to consider different arrangements of digits.
  • Another participant characterizes the problem as a counting problem, implying a focus on combinatorial methods.

Areas of Agreement / Disagreement

Participants generally agree that the problem is combinatorial in nature, but there is no consensus on the specific methods or calculations to be used.

Contextual Notes

Some assumptions about the definitions of digits and arrangements may be implicit, and the discussion does not resolve the mathematical steps necessary to arrive at a solution.

Who May Find This Useful

Individuals interested in combinatorial mathematics, counting problems, or those seeking to understand patterns in numerical arrangements may find this discussion relevant.

Zythyr
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I have no experience in stats and I was wondering if this problem can be solved using stats instead of creating a java program. Can someone please help me.

I am trying to find out how many 4 digits numbers exist that have the same digit repeated in that number twice. And how many 4 digits numbers exist that have the same digit repeated in that number three times.

For example:

5797: The digit 7 appears twice
0410: The digit 0 appears twice

3888: The digit 8 appers three times

So I want to know how many times the digit is repated twice and how many times the digit is reapted three times in the range from 0000-9999.

Can somoene please help me.
 
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Yes it can be. This is a combinatorial problem.

how many 4 digits numbers exist = 10C4

same digit repeated twice: you are looking at patterns ddxy, dxdy, dxyd, xddy, xdyd, xydd. How many combinations are possible with each of d, x, y taking on values 1, ..., 10?
 
I am not sure how to do solve this problem. I never took Stats.
 
It is a counting problem really.
 

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