Show:
Fundamental Counting Principle
Permutations
Permutations and Combinations
100
A restaurant offers 8 appetizers and 11 main courses. In how many ways can a person order a two-course meal?
What is 88.
100

There are 9 performers who will present their comedy acts this weekend at a comedy club. The performers insist that it is different if they are the first versus the last stand-up comic act of the evening.  

How many different ways are there to schedule the appearances?

What is 362,880

100
Evaluation the given expression. 6C5
What is 6.
200

A restaurant offers the following limited lunch menu. Main Courses: Beef, Pork Roast, Duck, Quiche

Vegetables: Peas, Squash, Cauliflower, Eggplant 

Beverages: Coffee, Tea, Milk

Desserts: Cake, Pie, ice cream

How many lunch meals can be created?

What is 144.

200

Evaluate 9P3

What is 504.

200
An election ballot asks voters to select five city commissioners from a group of eighteen candidates. In how many ways can this be done?
What is 8,568.
300

A clothing store offers the following outfit choices:

  • Shirts: Red, Blue, Green, Black
  • Pants: Jeans, Khakis, Shorts
  • Shoes: Sneakers, Sandals

How many different outfits can a customer create?

What is 24.

300

A club with 19 members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?

What is 5814.

300
A health inspector must visit 4 of 12 restaurants on Monday. In how many ways can she pick the 4 restaurants?
What is 495.
400

A sandwich shop lets you build your own combo meal.

  • Breads: White, Wheat, Rye
  • Meats: Turkey, Ham, Roast Beef, Tuna
  • Cheeses: American, Swiss
  • Drinks: Soda, Juice, Water

How many different combo meals can be made?

What is 72.

400

At a benefit concert, thirteen bands have volunteered but there is only enough time for six of the bands to play. How many lineups are possible if their lineup position will determine how much attention the audience gives them?

What is 1,235,520.

400

In a group of 50 people, how many ways can 4 $20 prizes be distributed?

What is 230300.

500

A breakfast café offers build-your-own breakfasts:

  • Eggs: Scrambled, Fried, Omelet
  • Meats: Bacon, Sausage, Ham
  • Toast: White, Wheat, Bagel
  • Drinks: Coffee, Tea, Orange Juice, Milk

How many different breakfast combinations are possible?

What is 108.

500

In how many distinct ways can the letter of the word EQUAL be arranged?

What is 120.

500

Using 9 flavors of ice cream, how many cones with 3 different flavors can you create if it is NOT important to you which flavor goes on the top, middle, and bottom?

What is 84.