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Combinations, Permutations, and Counting Principles

Authored by Corbin Marshall

Mathematics

9th - 12th Grade

CCSS covered

Used 154+ times

Combinations, Permutations, and Counting Principles
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

Permutation

Counting Principles

Factorial

Combination

Tags

CCSS.HSS.CP.B.9

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How would you solve?

The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

Permutation

Combination

Factorial

Counting Principles

Tags

CCSS.HSS.CP.B.9

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

84

504

362,880

6

Tags

CCSS.HSS.CP.B.9

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Nicole has four different skirts, three different blouses and two pairs of shoes which she can wear for a business meeting. In how many ways can Nicole dress for the meeting?

9

12

18

24

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.CP.B.8

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

672
40
6720

Tags

CCSS.HSS.CP.B.9

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

18
120
36

Tags

CCSS.HSS.CP.B.9

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

12,650
303,600
100
254

Tags

CCSS.HSS.CP.B.9

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