There are 15 entrees available at a restaurant. From these, Archie is to choose 4 for his party. How many groups of 4 entrees can he choose, assuming that the order of the entrees chosen does not matter?
There are 15 entrees available at a restaurant. From these, Archie is to choose 4 for...
At a restaurant, you can choose from 3 appetizers, 10 entrees, and 4 desserts. How many different three-course meals can you have?
3. A family of 8 goes to a restaurant. The menu has 11 entrees. Answer the following questions. (Explain your answers.) (a) (3 points) How many ways can everyone order an entree so that all entrees are different? (b) (3 points) How many ways can everyone order an entree if at least one person orders the most expensive entree and at least one person orders the least expensive entree? (c) (3 points) How many ways can everyone order an entree...
Answer the questions below. (a) There are 17 appetizers available at a restaurant. From these, Susan is to choose 13 for her party. How many groups of 13 appetizers are possible? (b) From the 12 albums released by a musician, the recording company wishes to release 10 in a boxed set. How many different boxed sets are possible?
Answer the questions below. (a) How many different committees of size 3 can be formed from 15 people? (b) There are 17 appetizers available at a restaurant. From these, John is to choose 13 for his party. How many groups of 13 appetizers are possible?
Tom has twelve photographs and he would like to choose twenty copies of the photographs to display on the wall outside of his office. He does not mind if he chooses multiple copies of a photograph (and, in fact, he must do so). How many different ways can he do this? (The order in which the photographs are chosen does not matter.)
Mykel is planning a banquet for 150 Guests, He needs to select: 4 appetizers, 3 entrees, and 3 side dishes. Carsons Catering has 12 appetizers, 8 entrees, and 9 side dishes to choose from. How many different ways are there for Mykel to plan the menu?
Archie has to go to school this morning for an important test, but he woke up late. He can either take the bus or take his unreliable car. If he takes the car, Archie knows from experience that he will make it to school without breaking down with probability 0.4. However, the bus to school runs late 25% of the time. Archie decides to choose between these options by tossing a coin. Suppose that Archie does, in fact, make it...
At a restaurant you can choose from 2 types of main entree out of 4, 3 sides out of 8, 1 drink from 3, and 2 soups out of 9. Without doubling up, how many ways can you order a meal?
Charlie wants to order a pizza. He can choose to add some or none of the seven toppings from the list below. He can't choose all of them. bacon, mushrooms, olives, pepperoni, pineapple, sausage, tomatoes In how many different ways can Charlie choose the toppings? (The order the toppings are chosen doesn't matter.)
Suppose we want to choose 4 colors, without replacement, from 16 distinct colors. (a) How many ways can this be done, if the order of the choices does not matter? x 6 ? (b) How many ways can this be done, if the order of the choices matters?