Question

Thirty students are members of the Biology Club: 21 are men (one of whom is named...

Thirty students are members of the Biology Club: 21 are men (one of whom is named Joe) and 9 are women (one of whom is named Kate). Five students are to be selected (unordered, without replacement) to form the Leadership Committee.

12a) How many different Leadership Committees are possible?

12b) Refer to the previous question. How many options are there if Joe can’t be on the committee? How many options are there if Joe must be on the committee? Hint: should these two values add up to your previous answer?

12c) How many different Leadership Committees are possible if it must consist of exactly 3 men and 2 women?

12d) How many different Leadership Committees are possible if Joe and Kate must be on the committee? Hint: notice there are no requirements on whether or not the other three members are men or women.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a) number of ways to select 5 student from 30 =(30C5) =142506

b) options are there if Joe can’t be on the committee =select 5 from remaining 29=(29C5) =118755

options are there if Joe must be on the committee =select 4 from remaining 29=(29C4) =23751

c)

number of ways =(21C3)*(9C2) =1330*36 =47880

d)

number of ways =N(select remaining 3 from remaining 28) =(28C3)=3276

Add a comment
Know the answer?
Add Answer to:
Thirty students are members of the Biology Club: 21 are men (one of whom is named...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • (A)There are 33 students in a graduate class. The students are to be divided into three...

    (A)There are 33 students in a graduate class. The students are to be divided into three groups of 10, 11, and 12 members for a class project. How divisions are possible? (B) A committee of 13 is to be chosen from a group consisting of 14 men and 15 women. How many committees are possible?

  • A committee of 6 people is to be chosen from a group consisting of 7 men...

    A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?

  • Choosing officers: A committee consists of eleven women and seven men. Five committee members will be...

    Choosing officers: A committee consists of eleven women and seven men. Five committee members will be chosen as officers. a. How many different choices are possible? b. How many different choices are possible if all the officers are to be women? c. How many different choices are possible if all the officers are to be men? d. What is the probability that all the officers are women?! e. What is the probability that at least one officer is a man?

  • A committee consists of eight women and twelve men. Five committee members will be chosen as...

    A committee consists of eight women and twelve men. Five committee members will be chosen as officers. How many different choices are possible?

  • QUESTION9 2 points Save Answer Determine how many different committees can be formed if 3 members...

    QUESTION9 2 points Save Answer Determine how many different committees can be formed if 3 members must be teachers and 2 members must be students. TTI Path: P words:0 QUESTION 10 2points Save Answer A class committee is to be made that consists of 2 freshmen, 2 sophomores, 3 juniors, and 3 seniors. If students are being randomly chosen from groups of 12 freshmen, 17 sophomores, 16 juniors, and 20 seniors, how many possible committees can be formed? Words QUESTION...

  • Hello! Could you please write your own four paragraph (5-6 sentences per paragraph) take away or...

    Hello! Could you please write your own four paragraph (5-6 sentences per paragraph) take away or reflection of the below information? Please complete in 24 hours if possible. Thank you! RIS BOHNET THINKS firms are wasting their money on diversity training. The problem is, most programs just don’t work. Rather than run more workshops or try to eradicate the biases that cause discrimination, she says, companies need to redesign their processes to prevent biased choices in the first place. Bohnet...

  • THE COMPANY: MORE POWER, INC. More Power, Inc., is a large, local retail store specializing in...

    THE COMPANY: MORE POWER, INC. More Power, Inc., is a large, local retail store specializing in the sale and service of hardware, tools, lawn and garden implements, and other materials for the home. More Power operates seven days a week, dawn to dusk. Approximately 120 employees work in distinct divisions within the store, including customer service/return desk; warehouse and delivery; service and repair; and three distinct sections focused on (1) hardware and tools, (2) lawn and garden and outdoors, and...

  • Hi there! I need to compare two essay into 1 essay, and make it interesting and...

    Hi there! I need to compare two essay into 1 essay, and make it interesting and choose couple topics which im going to talk about in my essay FIRST ESSAY “Teaching New Worlds/New Words” bell hooks Like desire, language disrupts, refuses to be contained within boundaries. It speaks itself against our will, in words and thoughts that intrude, even violate the most private spaces of mind and body. It was in my first year of college that I read Adrienne...

  • First, read the article on "The Delphi Method for Graduate Research." ------ Article is posted below...

    First, read the article on "The Delphi Method for Graduate Research." ------ Article is posted below Include each of the following in your answer (if applicable – explain in a paragraph) Research problem: what do you want to solve using Delphi? Sample: who will participate and why? (answer in 5 -10 sentences) Round one questionnaire: include 5 hypothetical questions you would like to ask Discuss: what are possible outcomes of the findings from your study? Hint: this is the conclusion....

  • Read “Instituionalizing our Demise: America vs Multiculturalism” by Roger Kimball on pg 268 and “Reinventing America”...

    Read “Instituionalizing our Demise: America vs Multiculturalism” by Roger Kimball on pg 268 and “Reinventing America” Call for a new national indentity” by Elizabeth Martinez on pg 275. Create a double entry notebook for each reading selection It should be atleast five observation and responses. wric 268 PART 2 essay pro. exactly how and why their authors disagree. Instead of with parties in conflict as mediators do, you will nt of view designed to appeal to both sides, mediatn posing...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT