1. Lesson 5

1.4. Discover

Mathematics 30-2 Module 3

Module 3: Permutations, Combinations, and the Fundamental Counting Principle

 

Discover
 

In Module 2 you learned that the probability of any event =

 

Determining the number of events often involves the use of the fundamental counting principle, permutations, and/or combinations.

 

Try This 1

 

It is possible to find different types of name generators online. Typically, word patterns are used to generate a reasonable sounding name. Consider the following superhero name generator. The superhero name becomes the _____A_____  ______B_____  _____C_____, where A, B, and C are words chosen randomly from the following lists.

 

A B C

Amazing
Blue
Cheerful
Dark
Dreaded
Endless
Fanciful
Fearless
Flying
Ghostly
Giant
Green
Light
Mighty
Purple
Red
Rocket
Super
Talented
Timely
Ultra
Vital
White

Wonderful

Atomic
Bear
Biological
Blade
Bubble
Butterfly
Claw
Elastic
Elder
Electric
Gargoyle
Hornet
Laser
Lava
Lizard
Lobster
Nocturnal
Pearl
Shark
Snake
Sword
Torch
Torpedo

Water

Admiral
Agent
Angel
Avenger
Clown
Cyborg
Destroyer
Dragon
Finger
Girl
Gladiator
Hunter
King
Lad
Man
Master
Matador
Ninja
Racer
Robot
Stinger
Vulture
Warrior

Woman
  1. How many three-word names can be made from the table?
  2. Pick a superhero name that matches your personality. What is the probability that a three-word name picked at random will match your name?
  3. What is the probability that a name, picked at random, will have an animal as the second word?
  4. What is the probability that a random new name will have the initials G. S. W.?

course folder Save your responses in your course folder.

 

Share 1

 

With a partner or group, discuss the following questions based on what you discovered in Try This 1.

  1. How do your strategies for determining the number of possible names compare?
  2. Did you use the same strategy to solve Try This 1 question 4? What other strategies could you use?

course folder If required, save a record of your discussion in your course folder.

Start by finding the probability of each initial separately and then combine them using the fundamental counting principle.
Remember that