AnswersACHS-Fundamental Algebra B-CRCombinations

Combinations Answers

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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?

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It increases by 1.
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It increases by 3.
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It increases by 5.
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It increases by 15.
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Question illustration
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The diagram is flawed because it should show there are four different ways the special can be ordered.
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The diagram is flawed because it should show there are five different ways the special can be ordered.
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The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
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The diagram models the situation correctly, and it shows there are nine different ways the special can be ordered.
3

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?

7
7
9
9
1
12
2
21
4

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?

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It decreased the number of combinations by 1.
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It decreased the number of combinations by 4.
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It decreased the number of combinations by 8.
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It decreased the number of combinations by 10.
5

At Jaylen’s school, students must choose a language, an elective, and a science class. Their options are listed in the table.Course OfferingsLanguageElectiveScienceChineseArtAstronomyFrenchBandBiologyGermanChoirChemistrySpanishComputersPhysicsHow many different combinations are possible?

4
4
1
12
3
32
6
64
6

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
6
6
8
8
1
12
3
32
7

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?

6
6
1
13
3
36
7
72
8

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?

1
13
3
36
2
252
2
288
9

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?

2
20
9
94
9
96
1
190
10

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

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