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

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Cooking with Combinations

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Cooking with Combinations

Statistics: Chapter 4

Section 1


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.


Hot Dogs

Hamburgers

Your first decision is what to grill….

or


Type of meat

Type of bun

Type of condiments

Type of toppings

What choices will each person have to make?


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

  • Bun

    • White

    • Wheat

  • Condiments

    • Mustard

    • Ketchup

    • Mayo

  • Toppings

    • Onions

    • Pickles/Relish


Hamburger Choices

  • Bun

    • White

    • Wheat

  • Condiments

    • Mustard

    • Ketchup

    • Mayo

  • Toppings

    • Cheese

    • Lettuce

    • Tomatoes

    • Onions

    • Pickles/Relish


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

BunCondimentsToppings

2

3

2

x

x

=

12


Hamburger Combinations

BunCondimentsToppings

2

3

5

x

x

=

30


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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