Part 2: Short Answer Questions - Remember to SHOW YOUR WORK!11. There are 8 women and 10 men in the math department.(a) How many ways can a committee of 4 people be selected?(b) How many ways can a committee of 4 people be selected if there must be2 men and 2 women on the committee?(c) How many ways can a math department committee of 4 people beselected if there must be at least 2 men on the committee?

Given that, there are 8 women and 10 men in the math department. We need to find: (a) How many ways…

Answered: 11. There are 8 women and 10 men in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3 For this problem, assume that you are to pick 4 cars from the motor pool, which contains 8 subcompact cars, 6 compact cars, and 4 midsize cars. How many ways can you pick the cars so not all are the same size?
Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must have exactly eight members. For this problem, you may leave your answers unreduced. (a) How many teams can be chosen that contain four freshmen and four sophomores? (b) How many teams can be chosen that contain at least two sophomores? (c) How many teams can be chosen that contain at most two freshmen?
een 4 toys and each of the other 2 Q. Find the number of ways that 4 people can sit in (i) a row of 4 seats; (ii) around a circular table. Q. A family has 3 boys and 2 girls. (a) Find the number of ways they can sit in a row; (b) How many ways are there if the boys and girls are each to sit together.
A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
How many ways can a committee of 3 people be selected from a club that has 16 members?
How many different committees can be formed from 9 teachers and 30 students if the committee consists of 3 teachers and 4 students? C In how many ways can the committee of 7 members be selected?
1. You just won 4 tickets to a concert, but you have 8 friends who would like to go with you. How many different ways can you give out the extra 3 tickets to your friends? 2. The booster club has 10 people running for the offices of president, vice-president, secretary and treasurer. How many ways can the offices be filled?
3 friends board an airliner just before departure time. There are only 11 seats left, 2 of which are aisle seats. How many ways can the 3 people arrange themselves in available seats so that at least one of them sits on the aisle?
How many different committees can be formed from 6 teachers and 46 students if In how many ways can the committee of 5 members be selected? the committee consists of 3 teachers and 2 students?
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?
A legislative committee consists of 4 Democrats and 9 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican (d) How many delegations would include at least 1 Republican? The 4 delegates can be selected different ways if at least 1 is a Republican,
How many ways are there to pick five people for a committee if there are six (different) men and eight (different) women and the selection must include at least one man and one woman? (solve by Inclusion-Exclusion)

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