Question: 1. (a) How many arrangements are there of the objects a, b, c, d, f, g, h?
(b) How many arrangements are there if we insist on using only those beginning with a?
(c) How many arrangements are there if a must be first and g fifth in the list?
2. We want to form ID numbers by using n distinct symbols and allowing any order for their arrangement. How large must n be to accommodate 20, 000 people? How many for 1, 000 000 people?