Statistics

Statistics

9. A paint manufacturer wishes several different paints. The categories include:

Color Type

Red, blue, white, black, green, brown, yellow

Latex, Oil Texture Flat, semi-gloss, high gloss Use Outdoor, indoor How many different kinds of paint can be made if a person can select one color, one type, one texture, and one use? 10. A stockbroker purchases four different stocks. During the next month, the stock values will either rise, remain the same or decline. How many different possibilities are there?

11. A security analyst would like to have an ID card with two letters followed by two digits. How many different ID cards could be made?

Permutations

12. Suppose a business owner has a choice of five locations in which to establish her business. She decides to rank each location according to certain criteria, such as price of the store and parking facilities. How many different ways can she rank the five cities?

13. What if in problem 13 above the business owner only wants to rank the top three locations. How many different ways can she rank them?

14. How many different ways can a chairperson and an assistant chairperson be selected for a research project if there are seven scientists available?

15. How many different arrangements of three boxcars can be selected from eight boxcars for a train? The order is important since each boxcar is to be delivered to a different location.

16. How many different permutations of the letters in the word statistics are there?

Combination Rule

17. In order to survey the opinions of customers at local malls, a researcher decides to select 5 malls from a total of 12 malls in a specific geographic area. How many different ways can the selection be made?

Answer key is found on page 86.

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