In a certain code, BREAKTHROUGH is written as EAOUHRBRGHKT. How is DISTRIBUTION written in that code?

Options

A. TISTBUONDIRI
B. STTIBUONRIDI
C. STTIBUDIONRI
D. None of these

Explanation

To solve the problem of how the word "DISTRIBUTION" is written in the same code as "BREAKTHROUGH" is written as "EAOUHRBRGHKT", we will follow a systematic approach.

### Step-by-Step Solution:

1. **Identify the Code Pattern**:
- The word "BREAKTHROUGH" is coded as "EAOUHRBRGHKT".
- We need to analyze how the letters are rearranged.

2. **Pair the Letters**:
- Break "BREAKTHROUGH" into pairs:
- (B, R), (E, A), (K, T), (H, R), (O, U), (G, H)
- The coded word "EAOUHRBRGHKT" can be seen as:
- 1st pair: E (2nd letter), A (1st letter)
- 2nd pair: O (5th letter), U (4th letter)
- 3rd pair: H (6th letter), R (3rd letter)
- 4th pair: B (1st letter), R (2nd letter)
- 5th pair: G (6th letter), H (4th letter)
- 6th pair: K (3rd letter), T (5th letter)

3. **Create a Numbering System**:
- Assign numbers to the letters based on their positions in the pairs:
- 1 → 2nd letter, 2 → 1st letter, 3 → 5th letter, 4 → 4th letter, 5 → 6th letter, 6 → 3rd letter.

4. **Apply the Same Logic to "DISTRIBUTION"**:
- Break "DISTRIBUTION" into pairs:
- (D, I), (S, T), (R, I), (B, U), (T, I), (O, N)
- Number the pairs:
- 1st pair: D (1st letter), I (2nd letter)
- 2nd pair: S (3rd letter), T (4th letter)
- 3rd pair: R (5th letter), I (6th letter)
- 4th pair: B (1st letter), U (2nd letter)
- 5th pair: T (3rd letter), I (4th letter)
- 6th pair: O (5th letter), N (6th letter)

5. **Rearranging According to the Code**:
- Using the same pattern as "BREAKTHROUGH", we will rearrange:
- 2nd letter of 1st pair: I
- 1st letter of 1st pair: D
- 5th letter of 2nd pair: T
- 4th letter of 2nd pair: S
- 6th letter of 3rd pair: I
- 3rd letter of 3rd pair: R
- 2nd letter of 4th pair: U
- 1st letter of 4th pair: B
- 4th letter of 5th pair: I
- 3rd letter of 5th pair: T
- 5th letter of 6th pair: N
- 6th letter of 6th pair: O

6. **Final Code for "DISTRIBUTION"**:
- The final coded word for "DISTRIBUTION" is "IDTSIRUBITON".

### Final Answer:
DISTRIBUTION is written as **IDTSIRUBITON** in the code.