Exam 8: Counting and Probability

Solve the problem. -A student must choose 1 of 5 mathematics electives, 1 of 5 science electives, and 1 of 8 programming electives. How many possible course selections are there?

Solve the problem. -List all the ordered arrangements of 6 objects a, b, c, d, e, and f choosing 2 at a time without repetition. What is P(6, 2)?

Write down all the subsets of the given set. - $\{ p , q , r \}$

Solve the problem. -From 9 names on a ballot, a committee of 4 will be elected to attend a political national convention. How many different committees are possible?

Solve the problem. -A man has 4 shirts and 7 ties. How many different shirt and tie arrangements can he wear?

Solve the problem. -List all the combinations of 6 objects a, b, c, d, e, and f taken 2 at a time. What is C(6, 2)?

Solve the problem. -A committee is to be formed consisting of 2 men and 5 women. If the committee members are to be chosen from 9 men and 12 women, how many different committees are possible?

Determine whether the following is a probability model. - Outcome Probability Red 0.21 Blue 0.23 Green 0.24 White 0.32

Solve the problem. -A hot dog stand sells hot dogs with cheese, relish, chili, tomato, onion, mustard, or ketchup. How many different hot dogs can be concocted using any 5 of the extras?

Determine whether the following is a probability model. - Outcome Probability Golfing 0.13 Skiing 0.15 Swimming 0.19 Biking 0.30 Hiking 0.23

Solve the problem. -In how many ways can 7 people each have different birth months?

Solve the problem. -12 different books are to be arranged on a shelf. How many different arrangements are possible?

Solve the problem. -In a survey of 415 computer buyers, 185 put price as a main consideration, 236 put performance as a main consideration, and 57 listed both price and performance. How many computer buyers listed other Considerations? How many looked only for performance?

Find the value of the permutation. -P(7, 1)

Use the information given in the figure. - How many are in B but not in A?

Solve the problem. -In survey of 50 households, 25 responded that they have an HDTV television, 35 responded that they had a multimedia personal computer and 15 responded they had both. How many households had neither an HDTV Television nor a multimedia personal computer?

Solve the problem. -In a student survey, 95 students indicated that they speak Spanish, 32 students indicated that they speak French, 13 students indicated that they speak both Spanish and French, and 139 students indicated that they speak Neither. How many students participated in the survey?

Determine whether the following is a probability model. - Outcome Probability Red 0.16 Blue 0.19 Green 0.27 White 0.23

Use the information given in the figure. - How many are in set A?

Determine whether the following is a probability model. -