A mathematics journal has accepted 14 articles for publication. However, due to budgetary restraints only 9 articles can be published this month. How many ways can the journal editor assemble 9 of the 14 articles for publication?
A. 726,485,760 B. 14 C. 2,002 D. 126
\[14\cdot13\cdot12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6=726 485 760\]
The big question here is what the word "assemble" means. If order is involved, a combination problem follows: 2,002 possible ways to select 9 of 14 articles. If order matters, then the answer is much larger, being the product of 14*13*12* ....6 which is the number shown above by Recursing. From the online dictionary comes this definition of "assemble" --> to put or fit together; put together the parts of: to assemble information for a report; to assemble a toy from a kit.
so (A)
Join our real-time social learning platform and learn together with your friends!