A permutation is an arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is calculated using the formula nPr=n!/(n−r)!, where n! is the factorial of n.
In this case, the number of permutations of 18 objects taken 5 at a time is calculated as 18P5=18!/(18−5)!=18!/13!=18×17×16×15×14=1,028,160. So there are 1,028,160 different ways to arrange 5 objects out of 18 in a specific order. View Solution Guide

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