Permutations & Combinations

₇P₂

• 0
• 7
• 42
• 210

Tags

CCSS.HSS.CP.B.9

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

CCSS.HSS.CP.A.1

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

₁₂C₃

• 36
• 66
• 220
• 500

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

CCSS.HSS.CP.B.8

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