Use the Fundamental Counting Principle, combinations or permutations to answer each of the following questions. Remember, you must include work for full credit. 3. The access code at Company XYZ consists of 4 digits (0 to 9). The first digit cannot be 0 and the last digit must be even. How many different codes are available? 4. There are 8 horses entered in the Big City Horse Derby. Assuming that horses cannot tie, how many different ways can the horses finish the race? 5. Smith Landscaping wants to plant 4 maple trees, 8 oak trees and 6 poplar trees at Bill's Burger Barn. If the trees are to be spaced evenly apart, how many distinguishable ways can they be planted? 6. A jury of 12 is to be selected from a group of 40 people. How many different ways can the jury be selected?

Perform the indicated calculation. 1. P3 2. 8 3