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Cooking with Combinations Statistics: Chapter 4 Section 1 The Scenario ………………

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Cooking with combinations l.jpg

Cooking with Combinations

Statistics: Chapter 4

Section 1


The scenario l.jpg
The Scenario ………………

Your family has asked you to host the Fourth of July picnic. Because everyone lives far away, it is impossible for everyone to help bring the food. In order to keep it simple, you have decided to have a cookout.


Your first decision is what to grill l.jpg

Hot Dogs

Hamburgers

Your first decision is what to grill….

or


What choices will each person have to make l.jpg

Type of meat

Type of bun

Type of condiments

Type of toppings

What choices will each person have to make?


Slide5 l.jpg
Hmmm………………

As you think of all the different groceries you need to buy, it becomes obvious that there are many, many ways that someone could prepare their meal. Your curiosity gets the best of you so you begin to count . . .

and count . . .

and count !!!


Hot dog choices l.jpg
Hot Dog Choices

  • Bun

    • White

    • Wheat

  • Condiments

    • Mustard

    • Ketchup

    • Mayo

  • Toppings

    • Onions

    • Pickles/Relish


Hamburger choices l.jpg
Hamburger Choices

  • Bun

    • White

    • Wheat

  • Condiments

    • Mustard

    • Ketchup

    • Mayo

  • Toppings

    • Cheese

    • Lettuce

    • Tomatoes

    • Onions

    • Pickles/Relish


To answer your question l.jpg
To answer your question. . . . .

  • Create a slot diagram for each type of meat.

  • Multiply the possibilities to calculate the total number of combinations.

  • Add the combinations for each type of meat to get the grand total.


Hot dog combinations l.jpg
Hot Dog Combinations

BunCondimentsToppings

2

3

2

x

x

=

12


Hamburger combinations l.jpg
Hamburger Combinations

BunCondimentsToppings

2

3

5

x

x

=

30


Your curiosity is satisfied l.jpg
Your curiosity is satisfied!!

Total Number

of

Hot Dog

Combinations

Total Number

of

Hamburger

Combinations

12

30

=

+

42

Combination Grand Total


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