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(C) To find the number of pairs of letters in the word $FOREIGN$ that have the same number of letters between them as in the English alphabet,we check

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One

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(C) To find the number of pairs of letters in the word $FOREIGN$ that have the same number of letters between them as in the English alphabet,we check both forward and backward directions:$1$. Word: $F, O, R, E, I, G, N$$2$. Alphabet positions: $F(6), O(15), R(18), E(5), I(9), G(7), N(14)$$3$. Checking forward:- $F(6)$ to $O(15)$: $7, 8, 9, 10, 11, 12, 13, 14$ (No match)- $F(6)$ to $R(18)$: $7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17$ (No match)- $F(6)$ to $E(5)$: (No)- $F(6)$ to $I(9)$: $7, 8$ (No)- $F(6)$ to $G(7)$: (No)- $F(6)$ to $N(14)$: $7, 8, 9, 10, 11, 12, 13$ (No)- $O(15)$ to $R(18)$: $16, 17$ (No)- $O(15)$ to $E(5)$: (No)- $O(15)$ to $I(9)$: (No)- $O(15)$ to $G(7)$: (No)- $O(15)$ to $N(14)$: (No)- $R(18)$ to $E(5)$: (No)- $R(18)$ to $I(9)$: (No)- $R(18)$ to $G(7)$: (No)- $R(18)$ to $N(14)$: (No)- $E(5)$ to $I(9)$: $6, 7, 8$ (No)- $E(5)$ to $G(7)$: $6$ (No)- $E(5)$ to $N(14)$: $6, 7, 8, 9, 10, 11, 12, 13$ (No)- $I(9)$ to $G(7)$: (No)- $I(9)$ to $N(14)$: $10, 11, 12, 13$ (No)- $G(7)$ to $N(14)$: $8, 9, 10, 11, 12, 13$ (No)$4$. Checking backward:- $N(14)$ to $G(7)$: $13, 12, 11, 10, 9, 8$ (No)- $N(14)$ to $I(9)$: $13, 12, 11, 10$ (No)- $N(14)$ to $E(5)$: $13, 12, 11, 10, 9, 8, 7, 6$ (No)- $N(14)$ to $R(18)$: (No)- $N(14)$ to $O(15)$: (No)- $N(14)$ to $F(6)$: (No)- $G(7)$ to $I(9)$: $8$ (No)- $G(7)$ to $E(5)$: $6$ (No)- $G(7)$ to $R(18)$: (No)- $G(7)$ to $O(15)$: (No)- $G(7)$ to $F(6)$: (No)- $I(9)$ to $E(5)$: $8, 7, 6$ (No)- $I(9)$ to $R(18)$: (No)- $I(9)$ to $O(15)$: (No)- $I(9)$ to $F(6)$: (No)- $E(5)$ to $R(18)$: (No)- $E(5)$ to $O(15)$: (No)- $E(5)$ to $F(6)$: (Yes,$E$ and $F$ are adjacent in the alphabet and in the word)- $R(18)$ to $O(15)$: (No)- $R(18)$ to $F(6)$: (No)- $O(15)$ to $F(6)$: (No)There is only $1$ pair: $(E, F)$.

How many pairs of letters are there in the word $FOREIGN$,each of which has as many letters between them as there are between them in the English alphabet?

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