Fundamental Counting Principle
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
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.
Evaluate 9P3
What is 504.
A clothing store offers the following outfit choices:
How many different outfits can a customer create?
What is 24.
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.
A sandwich shop lets you build your own combo meal.
How many different combo meals can be made?
What is 72.
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.
In a group of 50 people, how many ways can 4 $20 prizes be distributed?
What is 230300.
A breakfast café offers build-your-own breakfasts:
How many different breakfast combinations are possible?
What is 108.
In how many distinct ways can the letter of the word EQUAL be arranged?
What is 120.
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.