2. Suppose you had to travel and you decide to take two of the books from Problem #1. How many two-book selections can be made?

A bus company believes that it will need the following numbers of bus drivers during each of the next five years: 60 drivers in year 1; 70 drivers in year 2; 50 drivers in year 3; 65 drivers in year 4; and 75 drivers in year 5. At the beginning of each year, the bus company must decide how many drivers to hire or fire. It costs $4000 to hire a driver and $2000 to firea driver. A driver’s salary is $10,000 per year. At the beginning of year 1, the company has 50 drivers. A driver hired at the beginning of a year can be used to meet the current year’s requirements and is paidfull salary for the current year. a. Determine how to minimize the bus company’s salary, hiring, and firing costs over the next five years. b. Use SolverTable to determine how the total number hired, total number fired, and total cost change as the unit hiring and firing costs each increase by the same percentage.

Solve the following problems 1. In how many ways can 9 passengers be seated in a bus if there are only 5 seats available? 2. In how many ways can 5 different shirts be arranged in a cabinet? 3. Five red marbles, two white marbles and three blue marbles are arranged in a row. If all the marbles of the same color are not distinguishable from each other, how many different arrangements are possible? 4. In how many ways can 4 boys and 4 girls be seated in a row if a. they can seat anywhere b. the boys and the girls are to be seated alternately? 5. Determine the number of distinct permutations that can be formed from the word PHILIPPINES. 6. In how many ways can 5 precious stones be set around a gold bracelet?

6) Ronnie has two printing machines that print at different rates. Machine A prints 45 shirts every 5 minutes. Machine B prints 35 shirts every 15 minutes If he leaves the two machines printing for 2 hours. How many shirts would be printed by both machines?