How many pairs of letters are there in the word DEPRESSION each of which have the same number of letters between them as in the English alphabet?

Options

A. None
B. One
C. Two
D. More than two

Answer

To solve the problem of how many pairs of letters in the word "DEPRESSION" have the same number of letters between them as in the English alphabet, we can follow these steps:

### Step 1: Write down the letters of the word "DEPRESSION".
The letters in the word "DEPRESSION" are:
- D, E, P, R, E, S, S, I, O, N

### Step 2: Identify the positions of the letters in the English alphabet.
- D = 4
- E = 5
- P = 16
- R = 18
- E = 5 (second E)
- S = 19
- S = 19 (second S)
- I = 9
- O = 15
- N = 14

### Step 3: Compare pairs of letters.
We need to find pairs of letters such that the difference in their positions in the word is the same as the difference in their positions in the alphabet.

1. **Pair (D, E)**:
- Position in word: 1 and 2
- Difference: 1
- Alphabet positions: D (4) and E (5)
- Difference: 1 (Valid)

2. **Pair (P, S)**:
- Position in word: 3 and 6
- Difference: 3
- Alphabet positions: P (16) and S (19)
- Difference: 3 (Valid)

3. **Pair (O, N)**:
- Position in word: 9 and 10
- Difference: 1
- Alphabet positions: O (15) and N (14)
- Difference: 1 (Valid)

### Step 4: Count the valid pairs.
From our analysis, we found the following valid pairs:
- (D, E)
- (P, S)
- (O, N)

Thus, there are a total of **3 valid pairs**.

### Final Answer:
The total number of pairs of letters in the word "DEPRESSION" that have the same number of letters between them as in the English alphabet is **3**.

---