How many pair of digits are in the number ‘271384569’, each of which have as many digits between them as in number series (both forward and backward direction)?

To find the pairs of digits in the number 271384569 that have the same number of digits between them as in the standard number series (in both forward and backward directions), let's write down the number and examine the positions of its digits.

The given number is:
2 7 1 3 8 4 5 6 9

Let's analyze the pairs of digits by counting the distance between them and comparing it with their actual difference in the standard numerical order (where the distance between digit $A$ and digit $B$ is $|A-B|-1$).

1. Forward Direction:
- Let's check from digit 2:
- Between 2 and 3: The digits in the number are 2 and 3, with 7 and 1 between them (distance = 2). In the number series, there are no digits between 2 and 3. So, no match.
- Between 2 and 4: The digits are 271384. Distance is 4. In the number series, the digits between 2 and 4 is just 3 (distance = 1). No match.
- Between 2 and 5: The digits are 2713845. Distance is 5. In the number series, digits between 2 and 5 are 3, 4 (distance = 2). No match.
- Between 2 and 6: The digits are 27138456. Distance is 6. In the number series, digits between 2 and 6 are 3, 4, 5 (distance = 3). No match.
- Let's check from digit 7:
- Between 7 and 8: The digits in the number are 7138. The distance is 2. In the number series, there are no digits between 7 and 8 (distance = 0). No match.
- Between 7 and 9: The digits in the number are 71384569. The distance is 6. In the number series, the digit between 7 and 9 is 8 (distance = 1). No match.
- Let's check from digit 1:
- Between 1 and 3: The digits are 13. The distance is 1 (0 digits between them). In the number series, the digit between 1 and 3 is 2 (distance = 1). No match.
- Between 1 and 4: The digits are 1384. The distance is 2 (3 and 8 are in between). In the number series, the digits between 1 and 4 are 2 and 3 (2 digits). This is a match! (Pair: 1 and 4).
- Between 1 and 5: The digits are 13845. The distance is 3 (3, 8, 4 are in between). In the number series, the digits between 1 and 5 are 2, 3, 4 (3 digits). This is a match! (Pair: 1 and 5).
- Between 1 and 6: The digits are 138456. The distance is 4 (3, 8, 4, 5 are in between). In the number series, the digits between 1 and 6 are 2, 3, 4, 5 (4 digits). This is a match! (Pair: 1 and 6).
- Let's check from digit 3:
- Between 3 and 4: The digits are 384. Distance is 1. In the number series, distance is 0. No match.
- Between 3 and 5: The digits are 3845. Distance is 2. In the number series, the digit between 3 and 5 is 4 (distance = 1). No match.
- Between 3 and 6: The digits are 38456. Distance is 3 (8, 4, 5 are in between). In the number series, the digits between 3 and 6 are 4, 5 (2 digits). No match.
- Let's check from digit 8:
- Between 8 and 9: The digits are 84569. Distance is 3. In the number series, distance is 0. No match.
- Let's check from digit 4:
- Between 4 and 5: The digits are 45. Distance is 0. In the number series, there are no digits between 4 and 5 (distance = 0). This is a match! (Pair: 4 and 5).
- Between 4 and 6: The digits are 456. Distance is 1 (5 is in between). In the number series, the digit between 4 and 6 is 5 (1 digit). This is a match! (Pair: 4 and 6).
- Let's check from digit 5:
- Between 5 and 6: The digits are 56. Distance is 0. In the number series, distance is 0. This is a match! (Pair: 5 and 6).

Already, in the forward direction alone, we have found the following matching pairs:
1. (1, 4)
2. (1, 5)
3. (1, 6)
4. (4, 5)
5. (4, 6)
6. (5, 6)

Since we have found 6 valid pairs (which is more than four), we do not need to count further or check the backward direction in detail to determine the correct option.

Therefore, the number of such pairs of digits is more than four.