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Write the largest number of different di...

Write the largest number of different digits formed by using the digits `2, 4, 0, 3, 6` and `9`.

A

`996432`

B

`964322`

C

`964302`

D

`964320`

Text Solution

AI Generated Solution

The correct Answer is:
To find the largest number that can be formed using the digits 2, 4, 0, 3, 6, and 9, we will follow these steps: ### Step-by-Step Solution: 1. **List the Digits**: We have the digits 2, 4, 0, 3, 6, and 9. 2. **Identify the Largest Digit**: The largest digit among these is 9. 3. **Arrange in Decreasing Order**: Next, we arrange the remaining digits in decreasing order. The digits in decreasing order are: - 9 (largest) - 6 (next largest) - 4 (next largest) - 3 (next largest) - 2 (next largest) - 0 (smallest) 4. **Combine the Digits**: Now, we combine these digits to form the largest number. The arrangement will be: - 9, 6, 4, 3, 2, 0 5. **Write the Final Number**: Therefore, the largest number that can be formed using all the different digits is: - **964320** ### Final Answer: The largest number formed by using the digits 2, 4, 0, 3, 6, and 9 is **964320**.
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