question 1

Use the FCP, permutations, or combinations wherever appropriate to solve the following assortment of counting problems.

1. Suppose there are 7 people from which to fill three positions on a committee - a president, vice president, and a secretary. How many different ways can these positions be filled? (2 pts)

2. Suppose there are 7 people from which to choose a three-person committee in which every person has equal status. How many different committees can be made with these 7 people? (2 pts)

3. If you have a room full of 8 people and everyone shakes hands, how many

total handshakes are possible? (Hint: A handshake is between 2 people. This one is a combination problem because the order in which 2 people shake hands is not important.) (2 pts)

4. You just got a free ticket for a concert, and you can bring along 2 friends! Unfortunately, you have 7 friends who want to come along. How many different groups of friends could you take with you? [Hint: Note this is a combinations problem since the order in which you pick the friends is not important. You have 7 friends, and you must choose 2 from among them to take to the concert] (2 pts)

5. How many ways are there to arrange the letters of the word 'BREAD'? (2 pts)

6. A Little Comedy Club Manager has 12 children on her team. How many ways could she line up 9 performers for their stand-up comedy performance? (2 pts)

7. Suppose that you select 4 different pizza toppings from a Pizzeria that offers a total of 15 toppings. How many topping combinations are possible?

(2 pts)

8. (2 pts) Solve the following Factorial Problem: 6! -200!

199!

2 part

Resources allowed: You can use your calculator, notes, PowerPoints, and textbook on the following Quiz. No other resources are allowed.

1. State whether each of the following statement is True or False (6 pts)

1.The reference time period used in computation of Cost of Living Index is 1982-1984. ________

2. The APR for a credit card stands for 'A monthly Percent Rate'.______

3. If 8 is 20% less than 10 then it means that 10 is 20% more than 8. ______

4 . 7! + 3! = 10! ________

5. The formula forP(n, r) = ______

6. A combination is a selection of items from a set of distinct objects such that the order of selection does not matter _________