The position of how many letters will remain unchanged if each of the letters in the word ANOTHER is arranged in reversed alphabetical order. i.e. starting from the last letter (Z)?
Three
Let's break down the problem of finding how many letters keep their position when the word ANOTHER is rearranged in reverse alphabetical order.
The word we are working with is ANOTHER. It has 7 letters:
These letters are currently in specific positions from 1 to 7.
Now, we take the unique letters from the word ANOTHER (A, N, O, T, H, E, R) and arrange them from the end of the alphabet (Z) towards the beginning (A).
The letters are: A, E, H, N, O, R, T.
Arranging these in reverse alphabetical order gives us:
So, the new arrangement of the letters is TRONHEA.
We need to compare the original word ANOTHER with the new arrangement TRONHEA, position by position, to see which letters remain in the same spot.
| Position | Original Letter | New Letter (Reverse Alphabetical) | Position Unchanged? |
|---|---|---|---|
| 1 | A | T | No |
| 2 | N | R | No |
| 3 | O | O | Yes |
| 4 | T | N | No |
| 5 | H | H | Yes |
| 6 | E | E | Yes |
| 7 | R | A | No |
Looking at the comparison table, we can see the positions where the original letter and the new letter are the same:
There are exactly 3 positions where the letter remained unchanged after rearranging the letters of ANOTHER in reverse alphabetical order.
Therefore, the position of three letters will remain unchanged.
| Concept | Description |
|---|---|
| Original Word | ANOTHER |
| Letters | A, N, O, T, H, E, R |
| Reverse Alphabetical Order | T, R, O, N, H, E, A |
| New Arrangement | TRONHEA |
| Unchanged Letters | O (Position 3), H (Position 5), E (Position 6) |
| Count of Unchanged Letters | Three |
Understanding alphabetical order is key to solving these types of rearrangement problems.
When solving letter position questions, always clearly list the letters in the specified order (alphabetical or reverse alphabetical) and then compare them to the original positions.
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O H R E M T
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