How many pairs of letters in the word 'BRIGHTER' have as many letters between them in the word as in the alphabet?

Options

A. 1
B. 2
C. 3
D. 4

Explanation

To solve the problem of finding how many pairs of letters in the word "BRIGHTER" have as many letters between them in the word as in the alphabet, we will follow these steps:

### Step 1: Write down the word and its letters
The word is "BRIGHTER". The letters are:
- B
- R
- I
- G
- H
- T
- E
- R

### Step 2: Assign place values to each letter
Next, we will assign the alphabetical position (place value) to each letter:
- B = 2
- R = 18
- I = 9
- G = 7
- H = 8
- T = 20
- E = 5
- R = 18

### Step 3: Identify pairs of letters
We need to check pairs of letters in the word and see if the number of letters between them matches the number of letters between their corresponding place values in the alphabet.

### Step 4: Check pairs of letters
We will check each pair of letters in the word:

1. **B and R**:
- In the word: 1 letter (I)
- In the alphabet: 16 letters (C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R)
- Not a pair.

2. **B and I**:
- In the word: 1 letter (R)
- In the alphabet: 6 letters (C, D, E, F, G, H, I)
- Not a pair.

3. **B and G**:
- In the word: 2 letters (R, I)
- In the alphabet: 5 letters (C, D, E, F, G)
- Not a pair.

4. **B and H**:
- In the word: 3 letters (R, I, G)
- In the alphabet: 5 letters (C, D, E, F, G)
- Not a pair.

5. **B and T**:
- In the word: 4 letters (R, I, G, H)
- In the alphabet: 17 letters (C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T)
- Not a pair.

6. **B and E**:
- In the word: 5 letters (R, I, G, H, T)
- In the alphabet: 3 letters (C, D, E)
- Not a pair.

7. **B and R (second R)**:
- In the word: 6 letters (R, I, G, H, T, E)
- In the alphabet: 16 letters (C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R)
- Not a pair.

8. **R and I**:
- In the word: 1 letter (G)
- In the alphabet: 8 letters (S, T, U, V, W, X, Y, Z)
- Not a pair.

9. **R and G**:
- In the word: 2 letters (I, H)
- In the alphabet: 10 letters (S, T, U, V, W, X, Y, Z)
- Not a pair.

10. **R and H**:
- In the word: 3 letters (I, G, T)
- In the alphabet: 9 letters (S, T, U, V, W, X, Y, Z)
- Not a pair.

11. **R and T**:
- In the word: 1 letter (E)
- In the alphabet: 1 letter (S)
- This is a pair.

12. **R and E**:
- In the word: 2 letters (T, R)
- In the alphabet: 12 letters (S, T, U, V, W, X, Y, Z)
- Not a pair.

13. **R and R (second R)**:
- In the word: 6 letters (I, G, H, T, E)
- In the alphabet: 0 letters.
- Not a pair.

14. **I and G**:
- In the word: 1 letter (H)
- In the alphabet: 1 letter (H)
- This is a pair.

15. **I and H**:
- In the word: 0 letters.
- In the alphabet: 0 letters.
- This is a pair.

16. **G and H**:
- In the word: 0 letters.
- In the alphabet: 0 letters.
- This is a pair.

### Step 5: Count the valid pairs
From our checks, we found the following pairs:
1. R and T
2. I and G
3. G and H

Thus, the total number of valid pairs is **3**.

### Final Answer
The number of pairs of letters in the word "BRIGHTER" that have as many letters between them in the word as in the alphabet is **3**.

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