1. Explain why there should be more permutations than combinations when the two methods are used to determine the number of ways that events can occur.
2. A management consulting team needs a team of four to analyze the operations of a new client. The team should comprise an accountant, a production specialist, a finance specialist, and a management specialist. On its staff, the consulting firm has available six accountants, five production specialists, three finance specialists, and eight management specialists. How many different teams could be formed from the available individuals?