Combinations Permutations Counting Principle

Ten marching bands qualified for finals. If their performance order is random, how many ways can the final four performances be listed?

• 5,040

• 720

• 24

• 40

How many ways can you arrange the letters in the word FACTOR?

• ₆P₆=720

• ₆C₆=1

• 6 x 5 = 30

• 120 ways

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

• ₁₅C₂=105

• ₁₅P₂=210

• 15 x 2 = 30

• 100 ways

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180

• 23

• 12

• 60

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips, salad, and beverage can be ordered?

• 30

• 17

• 90

• 270

The golf club can send a team of four students to the next golf tournament. If there are 15 students in the club, how many different teams of four can be selected?

• 1365

• 259459200

• 60

• 50625

When Jack bought his new truck, there were 96 different ways his truck could be equipped. He had four choices of engines and two choices of transmissions. If the only other choice was color, how many colors were available?

• 11

• 12

• 13

• 14

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23

• 840

• 42

• 3,628,800

There are 18 students playing Quizizz in math class. How many ways can they win the gold, silver, and bronze places on the podium?

• 54

• 816

• 5832

• 4896

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

• Permutation

• Combination

• Counting Principle

• Factorial