How many pairs of letters are there in the word 'DABBLE' each of whic...
Letters in the word | Letter in the alphabet |
D A B | D C B |
B B L E | B C D E |
A B | A B |
A B B L E | A B C D E |
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How many pairs of letters are there in the word 'DABBLE' each of whic...
Understanding the Problem
To determine how many pairs of letters in the word 'DABBLE' have the same number of letters between them in the word as they do in the alphabet, we need to analyze the letters and their positions.
Word Breakdown
The letters in 'DABBLE' are:
- D (4)
- A (1)
- B (2)
- B (2)
- L (12)
- E (5)
Identifying Letter Pairs
We will look for pairs of letters (X, Y) such that the number of letters between them in 'DABBLE' equals the number of letters between them in the alphabet.
Pairs Found
1. D and A
- Position in 'DABBLE': D (1), A (2) → 0 letters between
- Position in Alphabet: D (4), A (1) → 2 letters between (B, C)
- Not a match.
2. D and B
- Position in 'DABBLE': D (1), B (3) → 1 letter between
- Position in Alphabet: D (4), B (2) → 1 letter between (C)
- Match found.
3. B and A
- Position in 'DABBLE': B (3), A (2) → 0 letters between
- Position in Alphabet: B (2), A (1) → 0 letters between
- Match found.
4. B and L
- Position in 'DABBLE': B (3), L (5) → 1 letter between
- Position in Alphabet: B (2), L (12) → 9 letters between
- Not a match.
5. B and E
- Position in 'DABBLE': B (3), E (6) → 2 letters between
- Position in Alphabet: B (2), E (5) → 2 letters between (C, D)
- Match found.
6. A and L
- Position in 'DABBLE': A (2), L (5) → 2 letters between
- Position in Alphabet: A (1), L (12) → 10 letters between
- Not a match.
7. A and E
- Position in 'DABBLE': A (2), E (6) → 3 letters between
- Position in Alphabet: A (1), E (5) → 3 letters between (B, C, D)
- Match found.
Conclusion
In total, we find more than three valid pairs that satisfy the condition:
- D and B
- B and A
- B and E
- A and E
Thus, the correct answer is indeed option D: More than three pairs.
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