Each of the letters in the word DONATE are arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter which is third from the left and the one which is second from the right?
Nine
This problem involves rearranging the letters of a given word in alphabetical order and then finding the number of letters in the English alphabet that fall between two specific letters from the rearranged word.
The letters in the word DONATE are:
Now, we arrange these letters in alphabetical order from A to Z:
| Position | Letter |
|---|---|
| 1st | A |
| 2nd | D |
| 3rd | E |
| 4th | N |
| 5th | O |
| 6th | T |
The letters of DONATE arranged alphabetically are: A, D, E, N, O, T.
In the alphabetically arranged list (A, D, E, N, O, T), the third letter from the left is E.
In the alphabetically arranged list (A, D, E, N, O, T), starting from the right, the letters are T, O, N, E, D, A. The second letter from the right is O.
We need to find the number of letters in the standard English alphabet that are between E and O. The letters between E and O are:
Let's count them:
F (1), G (2), H (3), I (4), J (5), K (6), L (7), M (8), N (9).
There are 9 letters between E and O in the English alphabet.
When the letters of the word DONATE are arranged in alphabetical order, the third letter from the left is E and the second letter from the right is O. There are nine letters in the English alphabetical series between E and O.
| Original Word Position | Letter | Alphabetical Position | Letter (Alphabetical) |
|---|---|---|---|
| 1 | D | 1 | A |
| 2 | O | 2 | D |
| 3 | N | 3 | E |
| 4 | A | 4 | N |
| 5 | T | 5 | O |
| 6 | E | 6 | T |
Questions like this test your ability to work with sequences and apply rules (like alphabetical order). Understanding the standard English alphabet and the position of each letter is fundamental. Practicing rearranging letters and identifying positions helps improve logical reasoning skills. Always double-check the counting, ensuring you count only the letters strictly *between* the two specified letters, not including the letters themselves.
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