Question: An art director for a magazine has 12 pictures to choose from for five positions in her magazine.
[A] How many different sets of five pictures could she choose from the 12 available pictures?
[B] Once she has picked her five pictures, in how many ways can she arrange them in the magazine?
[C] How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?