How many such pairs of letters are there in the word DISTINGUISH, each of which has as many letters between them in the word as in the English alphabetical series?
Question
How many such pairs of letters are there in the word DISTINGUISH, each of which has as many letters between them in the word as in the English alphabetical series?
Solution
To solve this problem, we need to look at the word "DISTINGUISH" and compare the positions of each pair of letters in the English alphabetical series.
Step 1: Write down the word and the corresponding positions of each letter in the English alphabet.
D (4), I (9), S (19), T (20), I (9), N (14), G (7), U (21), I (9), S (19), H (8)
Step 2: Look for pairs of letters that have the same number of letters between them in the word as in the English alphabetical series.
The pairs are:
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D and G: In the word, there are 2 letters between D and G (I and S). In the English alphabet, there are also 2 letters between D and G (E and F).
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I and N: In the word, there are 3 letters between the first I and N (S, T, and I). In the English alphabet, there are also 3 letters between I and N (J, K, and L).
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S and H: In the word, there is 1 letter between the second S and H (I). In the English alphabet, there is also 1 letter between S and H (T).
So, there are 3 such pairs of letters in the word "DISTINGUISH".
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