Find how many different 4-digit numbers can be formed using the digits 1. 2, 3, 4, 5 and 6 if no digit is repeated that are greater than 6000 are odd?

Sure, here is the step by step solution:

Step 1: Since the number has to be greater than 6000, the first digit can only be 6. So, there is only 1 way to choose the first digit.

Step 2: The number also has to be odd. The only odd numbers in the given digits are 1, 3, and 5. So, there are 3 ways to choose the last digit.

Step 3: For the second and third digits, we can choose any of the remaining 4 digits. So, there are 4 ways to choose the second digit.

Step 4: After choosing the second digit, we are left with 3 digits. So, there are 3 ways to choose the third digit.

Step 5: Multiply the number of ways to choose each digit to get the total number of 4-digit numbers. So, the total number of 4-digit numbers is 1 * 3 * 4 * 3 = 36.