1) How many ways are there to select a subcommittee of 7 members from among a committee of 21?
2) You have 85 friends with whom you like to play golf. However, the golf cart only seats 4 people. Since you will take up one seat, you can only play with 3 friends at one time. How many different groups of golfers can you have? (Use these numbers for this question only!)
What is the value of N in this example?
3) A certain marathon had 702 people running for first prize, second, and third prize. How many ways are there to correctly guess the first, second, and third place winners?
4) Which statement below is false regarding the CPI?
The CPI is the most common measure of change in the cost of living in the United States.
The CPI is based on a variable market basket price index.
The CPI is a common measure of inflation.
The CPI measures the cost of a market basket of goods and services that represent the typical purchases of urban households.
5) Using 1995 as the base period, the price index for cars is now 140. What does this index number mean?
The price of cars has decreased 40% since 1995.
The price of cars has increased 40% since 1995.
The price of cars has increased 140% since 1995.
The current price of cars is within $140 of the 1995 price.
6) One criticism of the CPI is that the market basket used in the CPI may not reflect current spending priorities. Which of the following is an example of this?
Personal computers were less powerful in 1982-1984.
Cell phones are more commonly purchased today than in 1993-1995.
7) If rent for a particular apartment was $879/month in 1980 (CPI = 82.4), what would be the comparable rent in 1990 (CPI 130.7)? Round your answer to the nearest cent (i.e. two decimal places). Only enter the number, not the dollar sign ($)
8) You and your friends have decided to go to The Kentucky Derby. There are 12 horses in the race. How many ways can the horses come in first, second, or third?
What is the numeric value of N?
9) You and your friends have decided to go to The Kentucky Derby. There are 12 horses in the race. How many ways can the horses come in first, second, or third?
What is the numeric value of r?
10) You and your friends have decided to go to The Kentucky Derby. There are 12 horses in the race. How many ways can the horses come in first, second, or third?
11) A security system uses a 2-letter password, but no letter can be used more than once. How many possible passwords are there if 16 of the letters of the alphabet can be used by the system? (Use these numbers for this question only!)
For this question indicate only what the value of N is?
12) A security system uses a 4-letter password, but no letter can be used more than once. How many possible passwords are there if 25 of the letters of the alphabet can be used by the system? (Use these numbers for this question only!)
For this question indicate only what the value of r is?
13) A security system uses a four-letter password, but no letter can be used more than once. How many possible passwords are there if 7 of the letters of the alphabet can be used by the system?