If Anne wants to buy a three-scoop cone with three different flavors, and the order of the flavors is important, she has 24 choices for the first scoop, 23 choices for the second scoop (since it must be different from the first), and 22 choices for the third scoop (since it must be different from the first two).
To calculate the total number of cones she could buy, we multiply the number of choices for each scoop:
Number of cones = 24 * 23 * 22
Number of cones = 12,144
Therefore, Anne could buy 12,144 different cones with three different flavors, considering the order of the flavors is important.
I hope this helps! :)