Mrs. Welch and her six children are all shopping. Each of the children will be allowed to select one box of cereal for their own from 12 different boxes available ( they are no two the same) how many ways can the selection be made?
We need to find the number of permutations of the 12 different cereals taken 6 at a time. [tex]12P6=\frac{12!}{6!}=12\times11\times10\times9\times8\times7=665,280\ ways[/tex]
