Combinations Answers

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.

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?

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?

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 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?

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?

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?

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?

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?