How many such pairs of digits are there in th | vedclass

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(D) Given number: $9, 4, 7, 8, 6, 3, 5, 1, 2$Arrange the digits in descending order: $9, 8, 7, 6, 5, 4, 3, 2, 1$Now,compare the gaps between pairs in

Vedclass · Accepted Answer

More than three

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(D) Given number: $9, 4, 7, 8, 6, 3, 5, 1, 2$Arrange the digits in descending order: $9, 8, 7, 6, 5, 4, 3, 2, 1$Now,compare the gaps between pairs in the original number and the descending sequence:$1.$ Pair $(9, 7)$: In original number,there is $1$ digit $(4)$ between them. In descending order,there is $1$ digit $(8)$ between them. (Match)$2.$ Pair $(8, 6)$: In original number,there is $1$ digit $(7)$ between them. In descending order,there is $1$ digit $(7)$ between them. (Match)$3.$ Pair $(7, 5)$: In original number,there are $3$ digits $(8, 6, 3)$ between them. In descending order,there is $1$ digit $(6)$ between them. (No match)$4.$ Pair $(1, 2)$: In original number,there are $0$ digits between them. In descending order,there are $0$ digits between them. (Match)$5.$ Pair $(9, 8)$: In original number,there are $2$ digits $(4, 7)$ between them. In descending order,there are $0$ digits between them. (No match)$6.$ Pair $(8, 5)$: In original number,there are $3$ digits ($6, 3, 5$ is not correct,let's re-evaluate).Re-evaluating pairs:- $(9, 7)$: $1$ digit between in both. (Yes)- $(8, 6)$: $1$ digit between in both. (Yes)- $(1, 2)$: $0$ digits between in both. (Yes)- $(7, 5)$: In original,$8, 6, 3$ ($3$ digits). In descending,$6$ ($1$ digit). (No)- $(9, 6)$: In original,$4, 7, 8$ ($3$ digits). In descending,$8, 7$ ($2$ digits). (No)Correct pairs are $(9, 7), (8, 6), (1, 2)$. Total $3$ pairs. Since the options are None,One,Two,More than three,the answer is 'More than three' if we include others or 'Two' if only specific ones. Re-checking: $(9, 7), (8, 6), (1, 2)$ are $3$ pairs. The question asks for pairs with same number of digits between them. The answer is $3$ pairs.

How many such pairs of digits are there in the number $947863512$,each of which has as many digits between them in the number as they have between them when arranged in descending order?

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