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(B) To find the number of pairs of letters in the word $HORIZON$ that have the same number of letters between them as in the English alphabet, we chec

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Two

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(B) To find the number of pairs of letters in the word $HORIZON$ that have the same number of letters between them as in the English alphabet, we check the sequence forward and backward:$1$. Word: $H, O, R, I, Z, O, N$$2$. Alphabet positions: $H(8), O(15), R(18), I(9), Z(26), O(15), N(14)$Checking pairs:- $H$ to $O$: $H(8), I(9), J(10), K(11), L(12), M(13), N(14), O(15)$. There are $6$ letters between $H$ and $O$ in the alphabet, but $0$ in the word.- $H$ to $N$: $H(8) \dots N(14)$. There are $5$ letters between them in the alphabet. In the word, the letters are $O, R, I, Z, O$ ($5$ letters). This is a match.- $I$ to $N$: $I(9), J(10), K(11), L(12), M(13), N(14)$. There are $4$ letters between them in the alphabet. In the word, the letters are $Z, O$ ($2$ letters). No match.- $O$ to $N$: $O(15), N(14)$. Adjacent in alphabet, adjacent in word. This is a match.Thus, the pairs are $(H, N)$ and $(O, N)$.Total pairs = $2$.

How many pairs of letters are there in the word $HORIZON$ which have as many letters between them in the word as in the English alphabet?

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