Question

the mathematicians at sun tan university have publishes 14 research papers this year. The dept chair wants to display them in the lobby. The display case can show 4 at a time. How many arrangements of 4 research papers are possible?

Answer 1

"How many arrangements" indicates that the order of the research papers matters, therefore we need to find the number of permutations of the 14 papers, taken 4 at a time.
\[\large 14P4=\frac{14!}{(14-4)!}=14\times13\times12\times11\]

Answer 2

24024

Answer 3

Correct.