Five-digits greatest odd number to be formed with the help of 3, 5, 7, 9 and 0 is

Options

A. 90573
B. 97530
C. 97503
D. 97053

Answer

To find the greatest five-digit odd number that can be formed using the digits 3, 5, 7, 9, and 0, we need to follow these steps:

### Step 1: Identify the digits
The available digits are 3, 5, 7, 9, and 0.

### Step 2: Determine the last digit
Since we want to form an odd number, the last digit must be an odd digit. The available odd digits are 3, 5, 7, and 9.

### Step 3: Choose the largest odd digit for the last position
To maximize the number, we should choose the largest odd digit available. The largest odd digit from our list is 9. Therefore, we will place 9 at the end.

### Step 4: Arrange the remaining digits in descending order
Now, we have the remaining digits: 3, 5, 7, and 0. To form the greatest number, we should arrange these digits in descending order. The order will be 7, 5, 3, and 0.

### Step 5: Combine the digits
Now we can combine the digits we arranged with the last digit we selected. The arrangement will be:
- First four digits: 7, 5, 3, 0
- Last digit: 9

So, the greatest five-digit odd number we can form is **75309**.

### Final Answer:
The greatest five-digit odd number that can be formed with the digits 3, 5, 7, 9, and 0 is **75309**.

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