How many ways can n books be placed on k distinguishable shelves if no two books are the same, and the positions of the books on the shelves matter?
Have a look at this;
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
Is there any limit on the number of books that can fit on a shelf? Is n>k? n<k? n=k? Are all these allowed?
Have a look at this;
http://www.mathsisfun.com/combinatorics/combinations-permutations.html