Answer :
answer
To find the difference between the largest and smallest number formed using the digits 0, 2, 5, 6, 7, we first need to determine the largest and smallest possible numbers that can be formed.
**Step 1: Form the smallest number**
- Arrange the digits in ascending order: ( 0, 2, 5, 6, 7 ).
- The smallest number starts with the smallest non-zero digit, which is \( 2 \).
- Arrange the remaining digits in ascending order: \( 0, 5, 6, 7 \).
- Thus, the smallest number formed is \( 20567 \).
**Step 2: Form the largest number**
- Arrange the digits in descending order: \( 7, 6, 5, 2, 0 \).
- The largest number formed is \( 76520 \).
**Step 3: Calculate the difference**
- Largest number: \( 76520 \)
- Smallest number: \( 20567 \)
To find the difference:
\[ 76520 - 20567 = 55953 \]
Therefore, the difference between the largest and smallest number formed using the digits 0, 2, 5, 6, 7 is \( \boxed{55953} \).