A toll booth has 12 cars waiting to go through. In how many different ways can the first five cars go through, if the order in which the pass distinguishes one set of five from another?
A toll booth has 12 cars waiting to go through. In how many different ways can...
In how many ways (according to manufacturer only) can five cars place in a stock-car race if three b) of the cars are Fords, one is a Chevrolet, and one is a Dodge? A committee is to be made up of 3 statisticians and 2 economists. The statisticians will be chosen from a group of 5, and the economists from a group of 6. In how many ways may the committee be formed? c) In how many ways (according to...
1.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order DOES matter? 2.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order does NOT matter?
A class has 32 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the four students can form a group for an activity. (Type a whole number.)
1. How many different committees of 4 people can be chosen to work on a special project from a group of 9 people? 2. . There are 15 people who work in an office together. Five of these people are selected to go together to the same conference in Orlando, Florida. How many ways can they choose this team of five people to go to the conference.
Principles of Counting: You have a ten-volume set of books. a) How many different ways can the books be arranged? b) How many of these arrangements have Volumes 1, 2, and 3 side by side in any order? c) How many of these arrangements have Volumes 1, 2, and 3 side by side in that order?
7. In how many different ways can a true-false test consisting of 12 questions be answered?
Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished? Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished when one person will be the lead, one will be the record keeper, and one will be the researcher?
30. a. In how many ways can a club with 15 members be divided into three committees of five members each, with no member serving on more than one committee, if each committee has different duties? If all committees perform the same functions? In how many ways can the club be divided into three commit- tees, each consisting of a chair, a secretary, and three other members, if the committees have different duties and no one serves on more than...
4. How many ways can you choose three toppings from 10 different toppings available at a Pizza delivery store? Also if you are ranking the three toppings chosen out of 10 toppings, how many different ways are possible? 5. If 40 % of all commuters ride to work in carpools, find the probability that exactly 4 will ride in carpools out of 10 workers? Also find the probability that nobody will ride in carpools out of 10 workers? 6. If...
Please answer the following question: a) In how many ways can a committee of 3 people be selected from a group of 10 people? b) In how many ways (different arrangements) can 8 books be placed on a shelf? c) On an ice cream menu, there are 5 choices of ice cream flavors, 4 choices of toppings and 2 choices of syrups. In how many different ways can the ice cream be ordered, if each order must include one ice...