Objectives:
 Understand permutations and how to use it
 Understand combinations and how to use it
 Know the differences between permutations and combinations
Standards:
2.6,2.7

Combinations


1. Which is 5,291,000 written in scientific notation?
A)
5 .
291

10
3
B)
529 .
1

10
4
C)
52 .
91

10
5
D)
5 .
291

10
6

2. The newsstand price of a magazine is discounted 28% for subscribers. The newsstand price is
$5.00. What is the subscription price?
A) $1.40
B) $3.60
C) $4.72
D) $5.28


1. I have 4 pairs of jeans, 3 different tops and
6 pairs of shoes. How many different outfits can I make?

2. How many different ways can I arrange the letters
?

3. How many arrangements are there if the first letter is a
when arranging the letters
?


How many ways are there to make change for a dollar?????


The arrangement of objects where ORDER
DOES NOT MATTER!
H AVE N OBJECTS AND WANT
ALL N OBJECTS
H AVE N OBJECTS AND WANT
R OBJECTS
FORMULA:
C ( n , n )
 n
C n

1
Example: There are 5 people in a race. Each of the top 3 finishers will receive $25. How many different ways will the prizes be awarded?
FORMULA:
C ( n , r )
 n
C r

( n
 n !
r )!
r !


19. From a group of eight different cans of soda, how many ways can a group of five cans be selected?


20. From a list of five books how many groups of 2 can be chosen?


21. From a group of 4 men and 5 women, how many committees of 3 men and 2 women can be formed?


22. A bag contains 3 red, 5 green, and 8 blue marbles. How many ways can 2 red, 1 green and 2 blue marbles be chosen?


Permutations vs. Combinations #23-27 in
Packet


Combinations Worksheet


Permutations/Combinations Review
Worksheet
◦ Quiz tomorrow on Counting Principles,
Permutations and Combinations