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

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In summary, The person is looking for help with a combinatorial problem involving finding the number of 4-digit numbers with repeated digits, and is wondering if it can be solved using statistics instead of creating a Java program. They are specifically interested in finding how many times a digit is repeated twice and three times in the range from 0000-9999. They state that they have no experience in statistics and have never taken a stats course.
  • #1
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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  • #2
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?
 
  • #3
I am not sure how to do solve this problem. I never took Stats.
 
  • #4
It is a counting problem really.
 

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

What is the definition of a 4-digit number with the same digit repeated twice and thrice?

A 4-digit number with the same digit repeated twice and thrice is a number that contains four digits, where one digit is repeated twice and another is repeated three times. For example, 4555 and 7777 are both 4-digit numbers with the same digit repeated twice and thrice.

How do you solve a 4-digit number with the same digit repeated twice and thrice?

To solve a 4-digit number with the same digit repeated twice and thrice, you can use basic algebraic equations. For example, if the number is represented as abbb, where a is the non-repeated digit and b is the repeated digit, you can set up the equation 1000a + 111b = abbb. Then, you can solve for a and b to find the number.

What is the largest possible 4-digit number with the same digit repeated twice and thrice?

The largest possible 4-digit number with the same digit repeated twice and thrice is 9999. This is because it is the highest possible combination of four digits where one digit is repeated twice and another is repeated three times.

What is the smallest possible 4-digit number with the same digit repeated twice and thrice?

The smallest possible 4-digit number with the same digit repeated twice and thrice is 1111. This is because it is the lowest possible combination of four digits where one digit is repeated twice and another is repeated three times.

How can solving 4-digit numbers with the same digit repeated twice and thrice be applied in real life?

Solving 4-digit numbers with the same digit repeated twice and thrice can be useful in various scenarios, such as in coding and encryption, where specific number patterns are needed. It can also be used in mathematical puzzles and games, as well as in analyzing certain numerical patterns and sequences.

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