I am the largest 6 digit odd number you can make without repeating digits. What number am I?

987,653

Thank you, but can you please explain how you got that? I am confused.

The largest number must be in the hundred-thousands place. From there I just went one digit down for each of the next 5 numbers. Since the last digit would be 4, and it's an odd number, I went down to 3 for the digit in the ones place.

To find the largest 6-digit odd number without repeating digits, there are a few steps we can follow:

1. Start by listing all the odd digits (1, 3, 5, 7, 9).

2. Since the number needs to be the largest, we want to assign the highest digit to the leftmost position. In this case, it should be 9.

3. Now we have four remaining digits to fill the remaining five positions. To maximize the number, we need to assign the next highest digit, which is 7, to the next leftmost position.

4. Next, we assign the next highest remaining digit, 5, to the next leftmost position.

5. For the remaining three positions, you can arrange the two remaining digits, 3 and 1, in any order.

Putting it all together, the largest 6-digit odd number without repeating digits is 975431.