10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction isimposed, (b) 2 particular women must not sit together, (c) each woman is to be between 2 men?11. In how many ways can 10 objects be split into two groups containing 4 and 6 objectsrespectively?12. In how many ways can a committee of 5 people be chosen out of 913. Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3physicists is to be formed. In how many ways can this be done if (a) any mathematician and anyphysicist can be included, (b) one particular physicist must be on the committee, (c) twoparticular mathematicians cannot be on the committee?14. From 7 consonants and 5 vowels, how many words can be formed consisting of 4 differentconsonants and 3 different vowels? The words need not have meaning.15. Find the number of (a) combinations and (b) permutations of 4 letters each that can be made frompeople?the letters of the word Tennessee.

Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 10. In how many ways can 3 men and 3…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

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?
a club consists of 5 men and 4 women. in how many ways can this club elect a president, Vice President and secretary in that order if the president must be a man and the other two officers must be a woman?
If 4 men and 5 women are having lunch together (a) in how many different ways can they order 2 chicken, 4 turkey and 3 vegan meals? (b) in how many ways can they order 2 chicken, 4 turkey and 3 vegan meals so that no men gets a vegan meal?
The following table shows the price per share of Apple stock at the beginning of different months. Calculate the four-month weighted moving average for October 2021. Round your answer to the nearest cent. Month July 2021 August 2021 September 2021 October 2021 November 2021 December 2021 Apple Stock Price Simple Moving Average Weighted Moving Average $136.60 $146.36 $152.83 $141.90 $148.99 $167.48 ???
how many ways to are there for eight men and ten women to stand in a line so that there would be exactly two women followed by at least one man?
A debate team of 4 members is to be formed from a group of 25 students. How many possible teams are possible given the following conditions? a)One of the team members has to be the first speaker, another one has to be the second speaker, a third one has to be the first reply speaker and the other one has to be the second reply speaker. (b) Two of the team members have to be speakers and the two other members of the team have to be reply speakers. (c) No particular role is assigned to any of the students.
There are 4 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 3 men are to be appointed. In how many ways can this be done if the following are available to serve? (a) 9 men and 8 women ways(b) 4 men and 5 women ways
b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars?
6. A lead role and a supporting role are to be chosen from a drama club consisting of 40 talents. How many various choices of actors are possible if: there are no restrictions? ( (1) (ii) actor Kristoff will participate only if he is the lead role? ( (ii) actors Jess and Jet will act together or not at all? (iv) actors Keanne and Gian will not act together?
If 4 men and 5 women are having lunch together(a) in how many different ways can they order 2 chicken, 4 turkey and 3 vegan meals?(b) in how many ways can they order 2 chicken, 4 turkey and 3 vegan meals so that no men gets a vegan meal?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction is imposed, (b) 2 particular women must not sit together, (c) each woman is to be between 2 men?