How many pairs of letters are there in the wo | vedclass

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(B) To find the number of pairs of letters in the word $DONATE$ that have as many letters between them as in the English alphabet,we check both forwar

Vedclass · Accepted Answer

One

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(B) To find the number of pairs of letters in the word $DONATE$ that have as many letters between them as in the English alphabet,we check both forward and backward directions:$1$. Forward direction:- $D$ to $O$: $D(E, F, G, H, I, J, K, L, M, N)O$ ($10$ letters between,not matching)- $D$ to $N$: $D(E, F, G, H, I, J, K, L, M)N$ ($9$ letters between,not matching)- $D$ to $A$: (Not matching)- $O$ to $N$: $O, N$ ($0$ letters between,alphabet has $N, O$ adjacent,but here $O$ is after $N$)- $N$ to $A$: (Not matching)- $A$ to $T$: $A(B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S)T$ ($18$ letters between,not matching)$2$. Backward direction:- $E$ to $T$: (Not matching)- $T$ to $A$: (Not matching)- $A$ to $N$: (Not matching)- $N$ to $O$: (Not matching)- $O$ to $D$: (Not matching)Let's re-examine the word $DONATE$ (positions: $D=4, O=15, N=14, A=1, T=20, E=5$):- $D(4)$ and $E(5)$: $0$ letters between (Alphabet: $D, E$ - $0$ letters between). This is $1$ pair.- $N(14)$ and $T(20)$: $5$ letters between $(O, P, Q, R, S)$. In the word $DONATE$,between $N$ and $T$ are $A$ ($1$ letter). Not a match.- $A(1)$ and $E(5)$: $3$ letters between $(B, C, D)$. In the word $DONATE$,between $A$ and $E$ are $T$ ($1$ letter). Not a match.Checking again: $D$ and $E$ are adjacent in the word and adjacent in the alphabet. Thus,there is $1$ pair.

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

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