Permutations, Combinations, and Factorials

Nicole has four different skirts, three different blouses and two pairs of shoes which she can wear for a business meeting. In how many ways can Nicole dress for the meeting?

• 9

• 12

• 18

• 24

Tags

CCSS.HSS.CP.B.9

A briefcase has a five-digit combination lock. The second digit in the combination is 5. At most how many different combinations must we try if we want to open the lock?

• 1000

• 10000

• 100000

• 99999

A four-digit number is formed using the digits in the set {1, 2, 3, 4, 5, 6}. How many numbers can be formed if no digit can be used more than once?

• 6! = 720

• 6⁴ = 1296

• 6 x 5 x 4 x 3 = 360

₂₀P₂

• 20
• 380
• 6840
• 116280

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? 

• 64
• 14
• 24,024
• 2184

Tags

CCSS.HSS.CP.B.9

When does the order in which you are choose matter?

• Combination
• Permutation

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

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

How many ways can the committee be made up of 3 women and 1 man?

• 200

• 180

• 560

• 1820

Tags

CCSS.HSS.CP.B.9