AnswersHCISD-Mathematical Models with Applications B-CR SUMMERExperimental vs. Theoretical Probability

Combinations Answers

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The children’s menu at a restaurant allows customers to pick a shape of pasta and a sauce. The choices are listed in the table.Children’s Menu Pasta OptionsShapeSauceSpaghettiTomatoRigatoniButterElbowCheeseTortelliniMeatRavioli Bow Tie Which pairs are ways of ordering from the menu? Check all that apply.

A
butter and cheese
B
spaghetti and ravioli
C
rigatoni and butter
D
elbow and cheese
E
tortellini and meat
F
rigatoni and bow tie
G
tomato and meat
3
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There were 8 finalists in the Atlantic County spelling bee and 12 finalists in the Ocean County spelling bee. If one finalist from each county will advance to the state finals, how many different combinations are possible?

A
20
B
94
C
96
D
190
4

Heidi is purchasing a frozen yogurt dessert. She must select a flavor, a type of sauce, and a topping from options in the table.Frozen Yogurt Dessert OptionsFlavorSauceToppingVanillaPineappleCherryChocolateBlueberryRainbow Sprinkles StrawberryChocolate Sprinkles NutsHow many different combinations are possible?

Answer:

24

5

The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table.Sixth Grade TeachersHistoryScienceArtMr. NelsonMs. PorterMr. RosenbergerMs. HoganMr. GristMs. PatelMs. MillerMs. O’ReillyMs. GeorgeMr. SpringerMs. TrufantMs. CallahanMs. DanielsMr. Pollard Ms. CartwrightMs. Davis Mr. BergeronMr. Cooper Mr. ChinMr. Dawson Ms. Sarno How many combinations of one history, one science teacher, and one art teacher include Mr. Bergeron?

A
13
B
36
C
252
D
288
6

A movie theater sells 5 different beverages in small, medium, or large cups. If the theater adds one more beverage choice, how does the number of possible combinations change?

A
It increases by 1.
B
It increases by 3.
C
It increases by 5.
D
It increases by 15.
7

Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?

A
1
B
6
C
12
D
18
8

Isabel created the tree diagram to represent the different ways she could order a salad at her favorite restaurant.According to the diagram, how many combinations of lettuce type, dressing, and topping are possible?

Question illustration
A
3
B
12
C
18
D
96
9

Chloe must pick a 6-digit personal identification number for her bank card. Each digit must be between 0 and 9. Which expression represents the number of different combinations of 6-digit numbers she can create?

A
6 + 10
Option A
B
6 times 10
Option B
C
10 times 10 times 10 times 10 times 10 times 10
Option C
D
6 times 6 times 6 times 6 times 6 times 6 times 6 times 6 times 6 times 6
Option D
10

The lunch special at a diner is a bowl of soup with either a salad or a sandwich. The diner offers chicken noodle, potato, or lentil soup as part of the special. Which statement best describes how this tree diagram represents the number of different ways the lunch special can be ordered?

Question illustration
A
The diagram is flawed because it should show there are four different ways the special can be ordered.
B
The diagram is flawed because it should show there are five different ways the special can be ordered.
C
The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
D
The diagram models the situation correctly, and it shows there are nine different ways the special can be ordered.
11

The tree diagram below shows the possible combinations of juice and snack that can be offered at the school fair.How many different combinations are modeled by the diagram?

Question illustration
A
6
B
8
C
12
D
32
12

The school band is selling magazine subscriptions to raise funds for a trip. The order form lists 90 different magazines and offers subscriptions of 6 months, 1 year, or 2 years to each title.How many combinations of title and subscription duration are possible?

Answer not available
13

Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the local papers and pay $1.00. Their options are listed in the table.Commuter SpecialPastryBeveragePaperDonutCoffeeThe TimesBrownieMilkThe HeraldMuffinTea SconeOrange Juice Croissant Last Tuesday, the deli did not have any muffins. How did that affect the number of possible combinations?

A
It decreased the number of combinations by 1.
B
It decreased the number of combinations by 4.
C
It decreased the number of combinations by 8.
D
It decreased the number of combinations by 10.
14

Dorianna packed enough blouses, skirts, and belts in her suitcase to make 24 different outfits. If she packed 4 skirts and 2 belts, how many blouses did she pack?

A
3
B
4
C
16
D
18
15

At LaMar’s birthday party, his parents served slices of plain, sausage, or pepperoni pizza. They also served cups of milk, orange juice, apple juice, or lemonade. If each guest at the party chose one slice of pizza and one type of drink, how many different combinations were possible?

A
7
B
9
C
12
D
21
16

Mia and her friends are planning a trip to the movies. They can go to the movies on Friday, Saturday, or Sunday, and there are 10 different movies at the theater. Which expression represents the number of different combinations of day and movie Mia and her friends can choose?

A
3 + 10
Option A
B
3 times 10
Option B
C
3 (10 + 10 + 10)
Option C
D
10 times 10 times 10
Option D
17

Concert T-shirts are available in a variety of sizes and styles, as outlined in the table.Shirt OptionsSleeve LengthSizeColorArtwork on ShirtShortSBlackBand Name in Font 1LongMGrayBand Name in Font 2 LWhitePhoto of Band Members XLNavy BlueCartoon of Band MembersHow many different sleeve/size/color/artwork combinations are possible?

A
4
B
14
C
64
D
128
18

A sporting goods store sells bicycles with the combinations of color, wheel size, and gears listed in the table.BicyclesColorWheel SizeGearsSilver20 inches1 speedPurple24 inches3 speedRed26 inches7 speedYellow 10 speedPink Black How many different configurations of bicycle does the store sell?

A
6
B
13
C
36
D
72

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