In how many ways can 8 people be lined up to get on a bus if 5 specific persons insist on following each other (that is the 5 persons are in a group)? (Enter an integer answer)
number of ways =N(considering 5 people as a single unit whcih can interchange within in 5! ways , there are 4 units including other 3 persons and these 4 can be arranged in 4! ways )
=5!*4!
=120*24
=2880
(a) In how many ways can 7 people be lined up to get on a bus? (b) If 5 specific persons, among 7, insist on following each other, how many ways are possible? (c) If 2 specific persons, among 7, refuse to follow each other, how many ways are possible? (a) The 7 different people can be lined up in 5040 different ways. (b) The people can be lined up in different ways. (c) The people can be lined up...
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
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...
if nine people stand in a row for a grouo photo. how many different ways can they be lined up for the photo?
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...
How many ways can 8 people be seated around a circular table if (a)There are 4 men and 4 women, and no 2 men or 2 women can sit next to one another? (b)There are 5 men and they must sit next to each other? (c)There are 4 married couples and each couple must sit together?
(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?
A comedian knows five jokes, two are about the weather and three are about spots in how many ways can people select her tsvom three are about sports. In how many ways can people select their favorite joke about the weather and their two favorites jokes told about sports? There are different ways can people select their favorite jokes Enter your answer in the answer box
A comedian knows five jokes, two are about the weather and three are about...