Possible Outcomes and Combinations. You can choose White or Chocolate Milk AND Chocolate Chip, Peanut Butter, or Snickerdoodle cookies To find how many.
Post on 23-Dec-2015
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Possible Outcomes and Combinations
You can chooseWhite or Chocolate Milk
ANDChocolate Chip, Peanut Butter, or
Snickerdoodle cookies
To find how many possible combinations there are, you take the number of possibilities
in your first choice and multiply it by the number of possibilities in your second choice.
You can chooseWhite or Chocolate Milk
ANDChocolate Chip, Peanut Butter, or
Snickerdoodle cookies
So…in this example, you have 2 choices of milk and 3 choices of cookies, so you have
2 x 3 or 6 possible combinations of one milk and one cookie.
You can chooseWhite or Chocolate Milk
ANDChocolate Chip, Peanut Butter, or
Snickerdoodle cookies
Next, you will want to create a list of the possible combinations. To do this, it is VERY important to stay organized. Start with white milk and list the combinations that you can have with white milk. Then do the same with chocolate milk.
You can chooseWhite or Chocolate Milk
ANDChocolate Chip, Peanut Butter, or
Snickerdoodle cookies
White Milk Chocolate Milk
So, you could chooseWhite milk and Chocolate ChipWhite milk and peanut butterWhite milk and snickerdoodleChocolate milk and chocolate chipChocolate milk and peanut butterChocolate milk and snickerdoodle
You can chooseWhite or Chocolate Milk
ANDChocolate Chip, Peanut Butter,
or Snickerdoodle cookies
Let’s try another one
The Indians have 4 jerseys…white, cream, blue, and gray
The Indians have 2 pant colors…white and gray.
How many possible combinations do the Indians have for each game?
4 jerseys x 2 pants = 8 combinations
Blue Jersey Cream Jersey Gray Jersey White Jersey
White Pants
White Pants
White Pants
White Pants
Gray Pants
Gray Pants
Gray Pants
Gray Pants
So, the list of possible uniform combinations would be…
• Blue jersey, white pants• Blue jersey, gray pants• Cream jersey, white pants• Cream jersey, gray pants• Gray jersey, white pants• Gray jersey, gray pants• White jersey, white pants• White jersey, gray pants
Now try one on your own
You are going to make a sandwich. You can choose one meat (turkey, bologna, or ham) and one cheese (American, swiss, or cheddar).
How many possible combinations are there?
List the possible sandwich combinations that you could make.
You can choose one meat (turkey, bologna, or ham) and one cheese
(American, swiss, or cheddar).
There are 3 meats to choose from and 3 cheeses to choose from…so
3 x 3 = 9 possible combinations
The list of possible outcomes is listed below…
Turkey & American Turkey & swiss Turkey & cheddar
Bologna & American Bologna & swiss Bologna & cheddar
Ham & American Ham & swiss Ham & cheddar
Try another one…
You are making an ice cream sundae. You can choose chocolate or vanilla ice cream. You can choose hot fudge, peanut butter, butterscotch, or whipped cream on top.
How many possible combinations are there of one ice cream and one topping?
List the possible combinations.
Ice Cream Choices
Chocolate
or Vanilla
Topping Choices
Hot Fudge, Peanut Butter, Butterscotch, or Whipped Cream
There are 2 ice cream choices and 4 topping choices, so there are 2 x 4 or 8 possible combinations.
The list of possible combinations is…Chocolate with Hot Fudge Vanilla with Hot Fudge
Chocolate with Peanut Butter Vanilla with Peanut Butter
Chocolate with Butterscotch Vanilla with Butterscotch
Chocolate with Whipped Cream Vanilla with Whipped Cream
The same strategy can be used when you are finding
combinations with 3 options
Suppose…
You have 3 shirts (a green, a yellow, and a blue).
You have 2 pairs of pants (blue or tan)
You have 3 pairs of socks (black, white, and tan) How many possible combinations are there?
List the possible combinations (organization is VERY important!!!).
You have 3 shirts, 2 pants, and 3 socks…so
you take 3 x 2 x 3 = 18 outfits.Green Shirt Yellow Shirt Blue Shirt
Blue
Pants
Blue
Pants
Blue
Pants
Tan
Pants
Tan
Pants
Tan
Pants
Black socks
Ta
n socks
Wh
ite so
cks
Black socks
Black socks
Black socks
Black socks
Black socks
Wh
ite so
cks
Wh
ite so
cks
Wh
ite so
cks
Wh
ite so
cks
Wh
ite so
cks
Ta
n socks
Ta
n socks
Ta
n socks
Ta
n socks
Ta
n socks
So…your list would be…Shirt Pants Socks
1. Green Blue Black
2. Green Blue White
3. Green Blue Tan
4. Green Tan Black
5. Green Tan White
6. Green Tan Tan
7. Yellow Blue Black
8. Yellow Blue White
9. Yellow Blue Tan
10. Yellow Tan Black
11. Yellow Tan White
12. Yellow Tan Tan
13. Blue Blue Black
14. Blue Blue White
15. Blue Blue Tan
16. Blue Tan Black
17. Blue Tan White
18. Blue Tan Tan
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