Question

For how many numbers 3000 to 8000 are odd numbers if all digits are unique?

Answer 1

To find the number of odd numbers with unique digits between 3000 and 8000, we need to consider the possible values for each digit.

Step-by-step explanation:

To find the number of odd numbers between 3000 and 8000 with unique digits, we need to consider the possible values for each digit.

1. The thousands digit can only be 3, 5, or 7, so there are 3 choices.
2. The hundreds digit can be any of the remaining 8 digits (0, 1, 2, 4, 6, 8, 9), so there are 8 choices.
3. The tens digit can be any of the remaining 7 digits (0, 1, 2, 4, 6, 8, 9), so there are 7 choices.
4. The units digit can be any of the remaining 6 digits (0, 1, 2, 4, 6, 8), so there are 6 choices.

By multiplying the number of choices for each digit, we can find the total number of odd numbers between 3000 and 8000 with unique digits: 3 x 8 x 7 x 6 = 1008.