Number 9254631 Digit Positions Comparison
This solution identifies how many digits in the number 9254631 remain in their original places after sorting the digits in ascending order.
Original Number Analysis
The original number is 9254631. The digits and their original positions are:
- Position 1: 9
- Position 2: 2
- Position 3: 5
- Position 4: 4
- Position 5: 6
- Position 6: 3
- Position 7: 1
Ascending Order Arrangement
The digits present in the number 9254631 are {9, 2, 5, 4, 6, 3, 1}.
Arranging these digits in ascending order results in: 1, 2, 3, 4, 5, 6, 9.
The new number formed by this arrangement is 1234569.
Comparing Original vs Sorted Positions
Below is a comparison of the digits in their original positions versus their positions after sorting:
| Original Position | Original Digit | Sorted Digit |
|---|---|---|
| 1 | 9 | 1 |
| 2 | 2 | 2 |
| 3 | 5 | 3 |
| 4 | 4 | 4 |
| 5 | 6 | 5 |
| 6 | 3 | 6 |
| 7 | 1 | 9 |
Count of Unchanged Digits
We count the number of positions where the digit in the original number is the same as the digit in the sorted number at that specific position.
- Position 2: The digit 2 remains unchanged.
- Position 4: The digit 4 remains unchanged.
Therefore, there are Two digits ('2' and '4') whose positions remain unchanged.
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Important Questions from Number Arrangement
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Refer to the following series and answer the question (all numbers are single digit numbers only).
(Left) 1 2 6 5 6 8 1 5 8 6 9 8 3 3 5 8 9 4 7 8 (Right)
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