
Suggestions for this self exam:
[A]
Study Rolf (sections 6.3, 6.4, 6.5), but then keep your book closed during this entire test
[B]
Method choice buttons (colored ovals) for each problem are scripted to show the correct choice
when the mouse arrow moves over them. Hence, keep your mouse restrained until you have thought
out your response.
[C]
Then type in your integer answer to the problem in the box provided,
rounding to the nearest dollar:
this page doesn't do arithmetic, so write "24" instead of "6 * 4" or "4!".
You may check each answer.
[D]
The 3 counting principles are reviewed in your text (Rolf):
The MULTIPLICATION PRINCIPLE is in section 6.3 (Pg 455)
If Task A can be done in m ways, and Task B can be done in n ways,
then both tasks can be done in (mn) ways
The PERMUTATIONS PRINCIPLE is in section 6.4 (Pg 468)
If k objects are selected from a larger collection of m objects, those k objects
can be lined up in a row in P(n,k) ways, where P(n,k) = n(n1)(n2)(n3).......(nk+1),
that is, the product of k integers starting downward from n
The COMBINATIONS PRINCIPLE is in section 6.5 (Pg 479)
The number of subsets of size k which can be selected from a larger
set of size n is C(n,k) = [ P(n.k) divided by k! ]
[2]  In how many ways can the letters of the word CREAM be arranged? 

Choose method first ⇢ 

[3]  An ATM pin number consists of 4 digits, such as 1111, 0011 or 2345. How many such pin numbers are possible?  
Choose method first ⇢ 

[6]  Five finalists are to be chosen from 1O contestants in a contest. How many such sets of 5 finalists are possible if the finalists are ranked?  
Choose best method first ⇢ 

[7]  In how many ways can the Supreme Court render a 54 decision in support of the death penalty?  
Choose best method first ⇢ 

[8]  Five people must line up in a row for a group photo. How many different such group photos are possible?  
Choose best method first ⇢ 

[10]  Five awards (1st, 2nd, 3rd, 4th, and 5th place) are to be chosen for the five entrants in a pie contest. In how many ways can these awards be assigned?  
Choose best method first ⇢ 

[11]  How many 5card poker hands are possible when dealing from a 52card deck? 

Choose method first ⇢ 

[12]  A 1Omember club must elect 4 officers: a president, vicepresident, secretary, and treasurer. How many different election results are possible?  
Choose best method first ⇢ 

[13]  A 5person committee must be chosen from a 10member club. How many different such committees are possible?  
Choose best method first ⇢ 

[14]  How many different arrangements are possible for 7 books on a shelf?  
Choose method first ⇢ 

[15]  In how many ways can each of 1O numbered billiard balls be assigned to one of the 2 side pockets? Each pocket is big enough to hold all 1O balls.  
Choose best method first ⇢ 

[16]  Five nonpermanent seats in the UN Security Council are to be selected from among 10 countries. How many such sets of 5 nations are there?  
Choose best method first ⇢ 
