## anonymous one year ago 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?

1. kropot72

"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. $\large 14P4=\frac{14!}{(14-4)!}=14\times13\times12\times11$

2. anonymous

24024

3. kropot72

Correct.