Each of the digits in the number 15762349 is arranged in ascending order from left to right. The position of how many digits will remain unchanged as compared to that in the original number?

The correct option is Two.

To find how many digits remain in the same position after re-arranging, let's compare the original sequence of digits with the sequence obtained after arranging them in ascending order (from left to right).

Step 1: Write down the original number and identify the position of each digit.
Original Number: 15762349
Position 1: 1
Position 2: 5
Position 3: 7
Position 4: 6
Position 5: 2
Position 6: 3
Position 7: 4
Position 8: 9

Step 2: Arrange the digits in ascending order from left to right.
Sorted Digits: 1, 2, 3, 4, 5, 6, 7, 9

Step 3: Compare the original positions with the new positions.
Position 1: Original = 1, New = 1 (Unchanged)
Position 2: Original = 5, New = 2 (Changed)
Position 3: Original = 7, New = 3 (Changed)
Position 4: Original = 6, New = 4 (Changed)
Position 5: Original = 2, New = 5 (Changed)
Position 6: Original = 3, New = 6 (Changed)
Position 7: Original = 4, New = 7 (Changed)
Position 8: Original = 9, New = 9 (Unchanged)

We can see that the digits 1 and 9 retain their original positions (Position 1 and Position 8 respectively).

Therefore, the position of Two digits remains unchanged.