In a cars carrier, how many ways are there to put 5 cars labeled as {A, B,..., E} in 4containers labeled as {1, 2, 3, 4}? Each container must include at least one car.Your answer isIf the containe #1 must have the car A in it, find the new number of possible ways.Your answer is

When there are no restrictions, each car can go into any of the containers, and there are no…

Answered: In a cars carrier, how many ways are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people, includinga president, a vice-president, and a secretary.(a) How many different ways do you have to pick a president, vice-president and secretary if you need atleast 1 men and 1 women? Does the order matter? Why?(b) How many different committees can you form with at least 3 women? Does the order matter? Why?
We have 3 Physics books, 4 Math books, and 5 Chemistrybooks. The 12 books are distinct. We want to arrange them all on abookshelf. Observe that without any restrictions there are 12! ways to arrangethem on a bookshelf. Explain each answer. In how many ways can we do this(a) if the arrangement must start with a Physics book and must end with aChemistry book?(b) if the arrangement cannot end with a chemistry book?(c) if the arrangement must begin with all the Physics books?(d) if the two specific books X and Y (of the 12 books) cannot be next toeach other?(e) if all the books belonging to a subject must stay together (i.e. stay nextto each other)? (hint: The subjects themselves have to be in someorder.)
Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. a) How many ways can this be done, if the order of the choices is relevant? b) How many ways can this be done, if the order of the choices is not relevant?
please quickly
If 3 specific persons among the 10 people lined up to get on the bus insist on following each other how many ways are possible?
Suppose there are 6 girls and 6 boys in a class. In how many ways can you arrange these children in a row if two of the girts are frends and mut st ret ah other?
We want to divide 12 children into any number of playgroups. However, in order to avoid some predictable disagreements, we want Adam and Brenda to be in different playgroups. How many ways are there to do this? (Playgroups have at least one child)
An employee group requires 6 people be chosen for a committee from a group of 16 employees. The employee group has 6 women and 10 men. How many ways are there where 3 of the people chosen for the committee are women and 3 people chosen for the committee are men? 2400 The committee requires that exactly 2 people from Human Resources serve on the committee. There are 5 people in Human Resources. How many ways are there where exactly 2 of the people chosen for the committee are from Human Resources?
Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can you do this?

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In a cars carrier, how many ways are there to put 5 cars labeled as {A, B,..., E} in 4 containers labeled as {1, 2, 3, 4}? Each container must include at least one car. Your answer is If the containe #1 must have the car A in it, find the new number of possible ways. Your answer is