QUIZ - Permutation/Combinations/Counting Principle

QUIZ - Permutation/Combinations/Counting Principle

9th - 12th Grade

15 Qs

quiz-placeholder

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QUIZ - Permutation/Combinations/Counting Principle

QUIZ - Permutation/Combinations/Counting Principle

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSS.CP.B.9

Standards-aligned

Created by

Brian Frasure

Used 12+ times

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

How many license plates consisting of three letters followed by three numbers are possible when repetition is NOT allowed?

26 x 25 x 24 x 10 x 9 x 8

26 x 26 x 26 x 10 x 10 x 10

26 x 25 x 24 x 9 x 8 x 7

26 x 26 x 26 x 9 x 9 x 9

26! x 10!

2.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

26 x 26 x 26 x 10 x 10 x 10

26 x 25 x 24 x 10 x 9 x 8

26 x 26 x 26 x 9 x 9 x 9

26 x 25 x 24 x 9 x 8 x 7

26! x

3.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

In how many different ways can 4 different books be arranged on the shelf?

4!

4 x 4 x 4 x 4

4 + 3 + 2 + 1

4 + 4 + 4 + 4

4

4.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

A book club lets people order any 8 books from a list of 40.

How many different groups of 8 books can members choose?

40P8

40C8

40! x 8!

8 x 40

40 x 39 x 38 x 37 x 36 x 35 x 34 x 33

5.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

How many ways can you choose 5 drinks out of 10 drinks and 7 snacks out of 13 snacks to pack a bag for a trip?

10C5 x 13C7

10P5 x 13P7

5 x 10 x 7 x 13

5! x 7!

10! x 13!

6.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

How many 5-card hands contain 3 spades?

52C3

13C3 x 39C2

13C3 x 52C2

13C3

5C3

7.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

How many 5-card hands contain 2 red cards?

26C2 x 26C3

52C2

26C2

26C2 x 52C3

52C2 x 52C3

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