Comb & Perm
Name__________________________
Directions: Answer the following questions.
___________ 1. A store has 20 different vegetables. Sam needs three different frozen vegetables. How
many ways can this be done?
___________ 2. Mary wants to select three magazines from a bin containing ten magazines. How many
ways can this be done?
___________ 3. Ed wants to read five books. How many different ways can this be done?
___________ 4. How many different permutations of the letters in the word different are there?
___________ 5. How many ways can I sing four songs from a list of seven?
___________ 6. How many ways can an instructor select two textbooks from a possible 15?
___________ 7. How many ways can a club select a president and vice-president fromn a group of 11
people?
___________ 8. An investigative agency has seven cases and five agents. How many different ways can the
cases be assigned if only one case is assigned to each agent?
___________ 9. How many ways can 3 Democrats, 5 Republicans, and 2 Independent representatives be
chosen from a group of 12 Democrats, 17 republicans, and 4 independents?
___________ 10. How many ways can 5 juniors and 7 seniors be selected from a group of 10 juniors and 15
seniors?
___________ 11. How many ways can a foursome be selected from 10 men and 12 women in a golf club if I
need at most two women on each team?
___________ 12. How many ways can 7 vehicles be selected from 12 cars and 9 trucks if I must include at
least three trucks?
___________ 13. How many different permutations of the letters in the word statistics are there?
Part II Answer the following based on sample space.
14. Consider the chance experiment in which an automobile is selected and both the number of defective headlights (0, 1, 2)
and the number of defective tires (0, 1, 2, 3, 4) are determined.
a. Display possible outcomes using a tree diagram
b.
Let A be the event that at most one headlight is defective and B be the event that at most one tire is defective.
What outcomes are in AC? in A  B?
in A  B?
c.
Let C denote the event that all four tires are defective. Are A and C disjoint events? Are B and C disjoint?
15. A college library has four copies of a certain book; the copies are numbered 1, 2, 3, and 4. Two of these are randomly
selected. The first selected book is placed on 2-hour reserve, and the second book can be checked out overnight.
a. Construct a tree diagram of the sample space.
b. Let A denote the event that at least one of the books selected is an even-numbered copy. What outcomes are in A?
c. Suppose that copies 1 and 2 are first printings, whereas copies 3 and 4 are second printings. Let B denote the
event that exactly one of the copies selected is a first printing. What outcomes are contained in B?
16. A library has five copies of a certain textbook on reserve of which two copies (1 and 2) are first printings and the other
three (3, 4, 5) are second printings. A student examines these books in random order, stopping only when a second
printing has been selected.
a. Display the sample space using a tree diagram.
b. What outcomes are contained in the event A, that exactly one book is examined before the chance experiment
terminates?
c. What outcomes are contained in the event C, that the chance experiment terminates with the examination of book
5?