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Permutations and Combinations

Authored by Michele Trefz

Mathematics

9th - 12th Grade

CCSS covered

Permutations and Combinations
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12 questions

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1.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

Determine whether the question would be a permutation or combination: Five students from 90 will be selected to count ballots for the Class President election. How many groups of 5 students could be selected to count ballots?


(a)  

Combination
Permutation
Neither

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

combination
permutation
neither

Tags

CCSS.HSS.CP.B.9

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The number of dinosaur models that a museum needs to make from 4 types of dinosaurs and 2 colors.

Permutation
Combination
Neither

Tags

CCSS.HSS.CP.B.9

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does 10Pmean?

Permutations with 5 choices and 10 positions
Permutations with 10 choices and 5 positions
Permutations with 5 numbers and 10 operations
Permutations with 5 hot dogs and 10 drinks

Tags

CCSS.HSS.CP.B.9

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.
(a)  

Permutation
Combination

Tags

CCSS.HSS.CP.B.9

6.

MATCH QUESTION

1 min • 1 pt

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

The principal would like to assemble a committee of 8 students from the 12-member student council.

Factorial

A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

Permutation

Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

Combination

Tags

CCSS.HSS.CP.B.9

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Permutation, combination, or neither?
From a group of 8 friends, how many ways can 3 friends be selected to form a committee?

combination

permutation

neither

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