Final answer:
To find the number of different orders Christopher can do the chores, we need to find the factorial of the number of chores. In this case, Christopher has 7 chores, so the number of different orders he can do them in is 7 factorial, written as 7!.
Step-by-step explanation:
To find the number of different orders Christopher can do the chores, we need to find the factorial of the number of chores. The factorial of a number is the product of that number and all the positive integers less than it. In this case, Christopher has 7 chores, so the number of different orders he can do them in is 7 factorial, written as 7!.
Therefore, Christopher can do the chores in 5040 different orders.