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Permutations and Counting Principle

Authored by Caroline Clarke

Mathematics

11th Grade

CCSS covered

Used 6+ times

Permutations and Counting Principle
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18 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

James purchased 3 shirts, 3 jackets and 2 pairs of pants.  How many different outfits using a shirt, a jacket, and pants are possible?

8
18
54

Tags

CCSS.7.EE.B.3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits? Think: Does order matter?

90
100
12
24

Tags

CCSS.HSS.CP.B.9

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? 

64
14
24,024
2184

Tags

CCSS.HSS.CP.B.9

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A group of 25 people are going to run a race. The top 8 finishers advance to the finals. How many combinations for the top 8 are there?

200

4.3609 x 1010

0

1,081,575

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A team of 8 basketball players needs to choose a captain and co-captain. How many options are there?

64

56

15

40,320

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. How many options for medal winners are there?

135

85,140

14,190

91,125

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

There are 45 applicants for four Computer Programmer positions. How many options are there for the positions?

135

85,140

14,190

3575880

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