Final answer:
Carrie can bake all of the pies in 24 different orders.
Step-by-step explanation:
The number of different orders in which Carrie can bake all of the pies can be calculated using the concept of permutations. Since there are 4 pies and each can be baked in a different order, we can use the formula for permutations of n objects taken all at a time, which is n!. So, for Carrie to bake all of the pies in different orders, the number of different orders would be 4! (read as 4 factorial) which is equal to 4 x 3 x 2 x 1 = 24.