How many such pairs of digits are there in the number ‘5391246’ in both forward and backward direction, each of which has as many digits be… — Answer & Discussion

How many such pairs of digits are there in the number ‘5391246’ in both forward and backward direction, each of which has as many digits between them in the number as when the digits are arranged in ascending order within the number?

ANone
BOne
CTwo
DThree

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Discussion 1

CCommunity27 Jun 2019

Given number: 5391246.

Number

5

3

9

1

2

4

6

Position

1st

2nd

3rd

4th

5th

6th

7th

If we arrange the digits in the ascending order in the number then we will get,

1234569.

Number

1

2

3

4

5

6

9

Position

1st

2nd

3rd

4th

5th

6th

7th

For four pairs 1 & 2, 1 & 3, 4 & 9 and 5 & 9, the difference between their positions in original and rearranged numbers is same.

Hence, four is the answer.