Concept explainers
Total number of ways, a dish of three scoops of ice-cream be made where each flavor can be used more than once and the order of the scoops does not matter and it is when 28 flavors, 8 different types of sauce and 12 toppings are given.
(b)
Out of 28 flavors, 8 sauce and 12 toppings, how many different kinds of small sandaes are possible if a sandaes contains one scoop of flavor, 1 scoop of sauce and 1 scoop of toppings.
(c)
Out of 28 flavors, 8 sauce and 12 toppings, how many different kinds of large sundaes, containing 3 scoops if each flavor can be used more than once, 2 kinds of sauce, if each can be used once only and three toppings if each can be used once only, without considering their order.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
- In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?arrow_forwardA skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. How many different skateboards can be constructed?arrow_forwardAt Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?arrow_forward
- If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?arrow_forwardA florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, three daisies, and three chrysanthemums. Each medium arrangement contains two roses, four daisies, and six chrysanthemums. Each large arrangement contains four roses, eight daisies, and six chrysanthemums. One day, the florist noted that she used a total of 24 roses, 50 daisies, and 48 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make?arrow_forwardHow many ways can 4 men and 4 women stand in line if all the women are first?arrow_forward
- A motorcycle shop has 10 choppers, 6 bobbers, and 5 café racers—different types of vintage motorcycles. How many ways can the shop choose 3 choppers, 5 bobbers, and 2 café racers for a weekend showcase?arrow_forwardAlice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,