If the letters in the word "PSCEXAM" are rearranged according to the English alphabetical order, how many letter(s) will remain in the same position after the rearrangement?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's lay out the original index positioning of each letter in the word PSCEXAM:
| Position | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Original Letter | P | S | C | E | X | A | M |
Now let's sort all these seven letters alphabetically: A, C, E, M, P, S, X.
Let's align and compare them side by side with their original positions:
| Position | Original Letter | Rearranged Letter | Match Status |
| --- | --- | --- | --- |
| 1 | P | A | No Match |
| 2 | S | C | No Match |
| 3 | C | E | No Match |
| 4 | E | M | No Match |
| 5 | X | P | No Match |
| 6 | A | S | No Match |
| 7 | M | X | No Match |
Comparing each vertical column index, not a single letter retains its original position. Therefore, the answer is .
| Position | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Original Letter | P | S | C | E | X | A | M |
Now let's sort all these seven letters alphabetically: A, C, E, M, P, S, X.
Let's align and compare them side by side with their original positions:
| Position | Original Letter | Rearranged Letter | Match Status |
| --- | --- | --- | --- |
| 1 | P | A | No Match |
| 2 | S | C | No Match |
| 3 | C | E | No Match |
| 4 | E | M | No Match |
| 5 | X | P | No Match |
| 6 | A | S | No Match |
| 7 | M | X | No Match |
Comparing each vertical column index, not a single letter retains its original position. Therefore, the answer is .