Unchanged Letters in SCRAMBLE After Alphabetical Order
This question asks us to determine how many letters in the word SCRAMBLE stay in their original positions after the letters are rearranged in alphabetical order. Let's break this down step-by-step.
Step 1: Identify the Original Word and Letters
The original word is SCRAMBLE. The letters are:
- S
- C
- R
- A
- M
- B
- L
- E
There are 8 letters in the word.
Step 2: Arrange the Letters Alphabetically
Now, let's arrange these letters in alphabetical order:
- A
- B
- C
- E
- L
- M
- R
- S
The alphabetically ordered sequence is ABCELMRS.
Step 3: Compare Original Positions with Alphabetical Positions
We need to compare the position of each letter in the original word "SCRAMBLE" with its position in the alphabetically sorted word "ABCELMRS".
| Original Letter (SCRAMBLE) | Position in SCRAMBLE | Alphabetical Letter | Position in Alphabetical Order | Position Unchanged? |
|---|---|---|---|---|
| S | 1 | S | 8 | No |
| C | 2 | C | 3 | No |
| R | 3 | R | 7 | No |
| A | 4 | A | 1 | No |
| M | 5 | M | 6 | No |
| B | 6 | B | 2 | No |
| L | 7 | L | 5 | No |
| E | 8 | E | 4 | No |
Step 4: Count the Unchanged Letters
By comparing the positions in the table above, we can see that every letter has moved from its original position when the word is arranged alphabetically.
- 'S' moved from position 1 to 8.
- 'C' moved from position 2 to 3.
- 'R' moved from position 3 to 7.
- 'A' moved from position 4 to 1.
- 'M' moved from position 5 to 6.
- 'B' moved from position 6 to 2.
- 'L' moved from position 7 to 5.
- 'E' moved from position 8 to 4.
Therefore, the number of letters that remain in their original positions is zero.
Conclusion
Based on the analysis, None of the letters in the word SCRAMBLE remain in their original position when the letters are arranged in alphabetical order.
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