Permutations and Combinations

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

• Combination
• Permutation

Tags

CCSS.HSS.CP.B.9

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

Tags

CCSS.HSS.CP.B.9

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

Tags

CCSS.HSS.CP.B.9

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

• 90
• 100
• 12
• 24

Tags

CCSS.HSS.CP.B.9

Is the order of arrangement important?
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.

• Yes
• No

Tags

CCSS.HSS.CP.B.9

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

• 18

Tags

CCSS.HSS.CP.B.9

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

Tags

CCSS.HSS.CP.B.9

Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?

• 100

• 10

• 720

• 1000

Tags

CCSS.HSS.CP.B.9

A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?

• 60,480

• 10,000,000

• 604,800

• 100

Tags

CCSS.HSS.CP.B.9

How many 5- Digit numbers can be formed using 0-9?

• 10

• 100,000

• 15120

• 10,000

Tags

CCSS.HSS.CP.B.9