The difference between the greatest and least five digit number formed with the digits - 2,5, 0, 6, 8

2, 5, 0, 6, 8 अंकों से बनी पाँच अंकीय सबसे बड़ी संख्या और सबसे छोटी संख्या का अंतर बताओं?

Options

A. 69552
B. 65925
C. 65952
D. 63952

Explanation

To solve the problem of finding the difference between the greatest and least five-digit numbers formed with the digits 2, 5, 0, 6, and 8, we can follow these steps:

### Step 1: Identify the digits
The digits we have are 2, 5, 0, 6, and 8.

### Step 2: Form the greatest five-digit number
To form the greatest five-digit number, we need to arrange the digits in descending order. The largest digit should come first.

- Arranging the digits in descending order: 8, 6, 5, 2, 0
- Therefore, the greatest five-digit number is **86520**.

### Step 3: Form the least five-digit number
To form the least five-digit number, we need to arrange the digits in ascending order. However, we cannot start with 0, as it would not be a five-digit number.

- First, arrange the digits in ascending order: 0, 2, 5, 6, 8
- Since we cannot start with 0, we will start with the smallest non-zero digit, which is 2.
- The next digits in ascending order after 2 are 0, 5, 6, and 8.
- Therefore, the least five-digit number is **20568**.

### Step 4: Calculate the difference
Now, we will calculate the difference between the greatest and least five-digit numbers.

- Greatest number: 86520
- Least number: 20568
- Difference = 86520 - 20568

Calculating the difference:
\[ 86520 - 20568 = 65952 \]

### Final Answer
The difference between the greatest and least five-digit number formed with the digits 2, 5, 0, 6, and 8 is **65952**.

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