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

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(C) To find the number of pairs of letters in the word $CHILDREN$ that have the same number of letters between them as in the English alphabet,we check the sequence:$C(3), H(8), I(9), L(12), D(4), R(18), E(5), N(14)$$1$. $H$ and $I$: $H$ is $8$th and $I$ is $9$th letter. In the word,they are adjacent (zero letters between them),and in the alphabet,there are zero letters between them. (Pair: $HI$)$2$. $E$ and $I$: $E$ is $5$th and $I$ is $9$th letter. In the word,there are $3$ letters ($D, R, E$ is not correct,let's re-evaluate: $I(9), L(12), D(4), R(18), E(5)$). Between $I$ and $E$,there are $3$ letters $(L, D, R)$. In the alphabet,there are $3$ letters $(F, G, H)$. (Pair: $EI$)$3$. $H$ and $N$: $H$ is $8$th and $N$ is $14$th. Between them in the word are $I, L, D, R, E$ ($5$ letters). In the alphabet,there are $5$ letters $(I, J, K, L, M)$. (Pair: $HN$)$4$. $I$ and $N$: $I$ is $9$th and $N$ is $14$th. Between them in the word are $L, D, R, E$ ($4$ letters). In the alphabet,there are $4$ letters $(J, K, L, M)$. (Pair: $IN$)Thus,there are $4$ such pairs: $(HI, EI, HN, IN)$.

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

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