Question

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?

Answer 1

We need to find the number of permutations of the 12 different cereals taken 6 at a time.
$12P6=\frac{12!}{6!}=12\times11\times10\times9\times8\times7=665,280\ ways$