Discussion
How many such digits are there in the number '46315825' each of which as far away, from the beginning of the numbers as when the digits are rearranged in ascending order ?
Answer: B
There are Two such digits.
Write the number and its digits in ascending order, position by position:
| Number | 4 | 6 | 3 | 1 | 5 | 8 | 2 | 5 |
|---|---|---|---|---|---|---|---|---|
| Ascending | 1 | 2 | 3 | 4 | 5 | 5 | 6 | 8 |
The digits that stay in the same position are 3 (third place) and 5 (fifth place). Every other position changes, so the count is two, not one, three or four.
Remember that the repeated digit 5 appears twice in the sorted order, at the fifth and sixth places, so the comparison must be made position by position.
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