Name: 
 

Combinations



 1 

The expression mc001-1.jpg is equivalent to
a)
mc001-2.jpg
c)
mc001-4.jpg
b)
mc001-3.jpg
d)
mc001-5.jpg
 

 2 

The expression mc002-1.jpg is equivalent to
a)
mc002-2.jpg
c)
mc002-4.jpg
b)
mc002-3.jpg
d)
mc002-5.jpg
 

 3 

How many different three-member teams can be formed from six students?
a)
20
c)
216
b)
120
d)
720
 

 4 

If there are four teams in a league, how many games will have to be played so that each team plays every other team once?
a)
6
c)
3
b)
8
d)
16
 

 5 

How many different ways can teams of four members be formed from a class of 20 students?
a)
5
c)
4,845
b)
80
d)
116,280
 

 6 

How many different five-member teams can be made from a group of eight students, if each student has an equal chance of being chosen?
a)
40
c)
336
b)
56
d)
6,720
 

 7 

How many different three-member teams can be selected from a group of seven students?
a)
1
c)
210
b)
35
d)
5,040
 

 8 

In the next Olympics, the United States can enter four athletes in the diving competition.  How many different teams of four divers can be selected from a group of nine divers?
a)
36
c)
3,024
b)
126
d)
6,561
 

 9 

If the Math Olympiad Club consists of eighteen students, how many different teams of four students can be formed for competitions?
a)
66
c)
3,060
b)
72
d)
73,440
 

 10 

Five people have volunteered to work on an awards dinner at Madison High School. How many different committees of four can be formed from the five people?
a)
1
c)
10
b)
5
d)
20
 

 11 

A customer will select three different toppings for a supreme pizza.  If there are nine different toppings to choose from, how many different supreme pizzas can be made?
a)
12
c)
84
b)
27
d)
504
 

 12 

The principal would like to assemble a committee of 8 students from the 15-member student council. How many different committees can be chosen?
a)
120
c)
32,432,400
b)
6,435
d)
259,459,200
 

 13 

Ms. Bell's mathematics class consists of 4 sophomores, 10 juniors, and 5 seniors.  How many different ways can Ms. Bell create a four-member committee of juniors if each junior has an equal chance of being selected?
a)
210
c)
5,040
b)
3,876
d)
93,024
 

 14 

If order does not matter, which selection of students would produce the most possible committees?
a)
5 out of 15
c)
20 out of 25
b)
5 out of 25
d)
15 out of 25
 



 
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