Question: 1. An ID number for each employee in a certain company consists of a string of nine numbers, consisting of an arrangements of the integers 1 through 9. How many different ID numbers can be formed?
2. Suppose we have five symbols available, and these are %, $, #, ∗ and &. One plan is to form passwords by using different orderings of these five symbols. A second plan is to use ordered strings chosen from these five symbols, in which any symbol can be used one or more times. How many different passwords are possible under each plan?