Question

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

Answer 1

A. 726,485,760

Explanation:

A mathematics journal has accepted 14 articles for publication.

However, due to budgetary restraints only 9 articles can be published this month.

As the journals are published one by one (arranged combination), so the order matters in this case.

So permutation should be used in this case, rather than combination.

Hence, the number of ways the journal editor can assemble 9 of the 14 articles for publication is,

`=\ ^(14)\text{P}_9=(14!)/((14-9)!)=(14!)/(6!)=726,485,760`