Permutations vs. Combinations

What does ₁₀P₅ mean?

• 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

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

Tags

CCSS.HSS.CP.B.9

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 5/7
• 1/7
• 2/7
• 1

Tags

CCSS.HSS.CP.B.9

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that the committee is made up of 3 women and 1 man?

• 10/91

• 1/20

• 3/16

• 36/91

Tags

CCSS.HSS.CP.B.9

24 students are in the Geometry class. Every week the class is rearranged into groups of 3. What is the probability that John will be grouped with his 2 friends, Nate and Jack?

• 1/72

• 1/4048

• 1/2024

• 3/12144

Tags

CCSS.HSS.CP.B.9

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

In how many ways can 3 different vases be arranged on a tray?
 

• 3
• 9
• 6
• 12

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