Answer: The number of different ways she could arrange the carpet squares is 36!.
Step-by-step explanation:
We know that , the number of ways to arrange n things = n!
Given that , Your teacher has 36 carpet squares.
i.e. The total number of carpet squares = 36
If she needs to make a new arrangement for the reading carpet.
Then, the total number of arrangement of carpet squares would be 36!.
Hence , the number of different ways she could arrange the carpet squares is 36!