How many such pairs of letters are there in t | vedclass

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(C) To find the pairs,we check the alphabetical positions of letters in $PROFITABLE$:$P(16), R(18), O(15), F(6), I(9), T(20), A(1), B(2), L(12), E(5)$

Vedclass · Accepted Answer

Two

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(C) To find the pairs,we check the alphabetical positions of letters in $PROFITABLE$:$P(16), R(18), O(15), F(6), I(9), T(20), A(1), B(2), L(12), E(5)$.$1$. Checking forward:- $P(16)$ to $T(20)$: $16, 17, 18, 19, 20$ (No)- $A(1)$ to $B(2)$: $1, 2$ (Yes,one pair: $A-B$)$2$. Checking backward:- $E(5)$ to $I(9)$: $5, 6, 7, 8, 9$ (No)- $B(2)$ to $F(6)$: $2, 3, 4, 5, 6$ (Yes,one pair: $B-F$)Thus,there are two pairs: $(A, B)$ and $(B, F)$.

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

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