anonymous
  • anonymous
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?
Mathematics
chestercat
  • chestercat
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kropot72
  • 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. \[\large 14P4=\frac{14!}{(14-4)!}=14\times13\times12\times11\]
anonymous
  • anonymous
24024
kropot72
  • kropot72
Correct.

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