2. Suppose 6 people will be lined up to get on a bus. Find the number of different ways they can be ordered under the following contitions. a) If 3 specific persons, among 6, insist on following each other, how many ways are possible? b) If 2 specific persons, among 6, refuse to follow each other, how many ways are possible?
Eight people wait in a row for the bus, in how many ways can they be formed if two of them refuse to be together, one behind the other? a) 4320 b) 36000 c) 30240 d) 3600
if nine people stand in a row for a grouo photo. how many different ways can they be lined up for the photo?
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
5. (3 points) You have 16 pieces of candy to distribute to 7 people (all persons are distinguishable from one another). How many ways are there to distribute the candy if -each piece of candy is different? -each piece of candy is identical? -each piece of candy is identical and four people get at least one piece of candy each, while the three remaining people get none
5. (3 points) You have 16 pieces of candy to distribute to 7...
Problem 2 a) In how many ways can 6 women and 5 men line up so that no two men are next to one another? b) In how many ways can 7 different pairs of twins line up so that twins must be next to one another? c) In how many ways can 7 women and 10 men sit at a circular table so that no two women are sitting side by side? d) How many strings of length 5...
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...
You want to distribute 100 gold coins among 20 different people. How many ways can he do this if the gold coins are all... (g) identical but instead are distributed into 20 identical piggy banks such that no piggy bank is empty. (h) different and each person gets exactly five coins. (i) identical and each person gets exactly five coins. (j) different and the Leader gets ten pieces while the other people can get any number of pieces
(A) How many different ways are there for 17 of the 24 people to develop the disease? (B) Now suppose 9 of the 24 people carry a specific genetic mutation, and 5 of those are in the group that develops the disease. How many different ways are there for this to happen?
In how many ways may n people sit around a round table? (Assume that when people are sitting around a round table, all that really matters is who is to each person’s right. For example, if we can get one arrangement of people around the table from another by having everyone get up and move to the right one place and sit back down, then we get an equivalent arrangement of people. Notice that you can get a list from...