### Instruction: How many different three-digit odd numbers can be formed using the digits 3, 4, 5 and 6 if digits cannot be repeated?### Response: To form a three-digit odd number, I need to choose the last digit first, since it has to be odd.
I have two choices for the last digit: 3 or 5.
Then, I need to choose the first digit, which cannot be the same as the last digit.
If the last digit is 3, I have three choices for the first digit: 4, 5 or 6.
If the last digit is 5, I also have three choices for the first digit: 3, 4 or 6.
So, regardless of the last digit, I have three choices for the first digit.
Finally, I need to choose the middle digit, which cannot be the same as the first or the last digit.
If the last digit is 3 and the first digit is 4, I have two choices for the middle digit: 5 or 6.
If the last digit is 3 and the first digit is 5, I have two choices for the middle digit: 4 or 6.
If the last digit is 3 and the first digit is 6, I have two choices for the middle digit: 4 or 5.
If the last digit is 5 and the first digit is 3, I have two choices for the middle digit: 4 or 6.
If the last digit is 5 and the first digit is 4, I have two choices for the middle digit: 3 or 6.
If the last digit is 5 and the first digit is 6, I have two choices for the middle digit: 3 or 4.
So, regardless of the first and the last digit, I have two choices for the middle digit.