Combinations Answers

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?

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?

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?

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?

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?

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?

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?

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?

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?