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Permutations and Combinations

Authored by Austin Spurlock

Mathematics

7th Grade

CCSS covered

Used 220+ times

Permutations and Combinations
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

720
120
10!

Tags

CCSS.HSS.CP.B.9

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

6!
120
20
3!

Tags

CCSS.HSS.CP.B.9

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

8
64
8!
56

Tags

CCSS.HSS.CP.B.9

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

1
30
5!
6!

Tags

CCSS.HSS.CP.B.9

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

462
55440
55
1000

Tags

CCSS.HSS.CP.B.9

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

1
3628800
100
1814400

Tags

CCSS.HSS.CP.B.9

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

There are 14 candy bars for sale. How many ways can Andy choose five of them?

240240
2002
87178291200
70

Tags

CCSS.HSS.CP.B.9

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