Question

A club with eighteen members is to choose three​ officers: ​ president, vice-president, and​ secretary-treasurer. If...

A club with eighteen members is to choose three​ officers: ​ president, vice-president, and​ secretary-treasurer. If each office is to be held by one person and no person can hold more than one​ office, in how many ways can those offices be​ filled?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

ANSWER::

Given that;

A club with eighteen members

we have choose three fficers president, vice-president, and​ secretary-treasurer from this eighteen members.

Firstly we have to select one person to presisdent in 18c1 ways and give them pne office.

we have 17person .again select one person to vice president and give then another office it can be done by 17c1 way

Again we have 16 remaining person

Again we have to select one person for secretary-treasurer in 16c1 ways & give them remaining office

By multiplication principle;

Total number of ways are = 18c1*17c1*16c1

= 18*17*16

= 4896 ways

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The offices of? president, vice? president, secretary, and treasurer for an environmental club will be filled...
The offices of? president, vice? president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Six of the candidates are members of the debate team. ?(a) What is the probability that all of the offices are filled by members of the debate? team? ?(b) What is the probability that none of the offices are filled by members of the debate? team?
How many ways can you choose President, Vice-president Secretary, Treasurer out of Tom, Dick, Harry, Mary,...
How many ways can you choose President, Vice-president Secretary, Treasurer out of Tom, Dick, Harry, Mary, Jane, Chicqiuta if the President, Vice-persistent have to be boys and Secretary and Treasurer have to be girls ?
How many ways can a president and a vice-president be selected from a club with 15...
How many ways can a president and a vice-president be selected from a club with 15 members if no one can hold more than one office? supposing a four year term for all offices, in how many ways can a new president and vice-president be chosen four years from now if no one is allowed to be elected to the same position twice. I got the answer for the first part = 15P2 = 210. but not sure how to...
from a class of 20 students, a president, a vice-president, secretary, treasurer, and 3 person committee...
from a class of 20 students, a president, a vice-president, secretary, treasurer, and 3 person committee is formed. how many ways can this be done
From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasure will be...
From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasure will be filled. In how many different ways can the offices be filled?
A certain committee consists of 17 people. From the committee, a president, a vice-president, and a...
A certain committee consists of 17 people. From the committee, a president, a vice-president, and a secretary are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.
A club consists of 25 members, In how many different ways can they elect a president,...
A club consists of 25 members, In how many different ways can they elect a president, vice-president, and secretary?
Discrete Mathematics The science department has 18 people.  The department needs to choose a Chair, Vice-Chair, Secretary,...
Discrete Mathematics The science department has 18 people.  The department needs to choose a Chair, Vice-Chair, Secretary, and Treasurer. In how many ways can this group of officers be chosen?
A board of directors needs to assign a chair, vice chair, treasurer, secretary, and communications officer....
A board of directors needs to assign a chair, vice chair, treasurer, secretary, and communications officer. There are eight women and six men on the board. If there will be three women and two men chosen to fill these five positions, in how many ways could this be done?
Some students at Penn State decide to form a new club for Anime enthusiasts. A new...
Some students at Penn State decide to form a new club for Anime enthusiasts. A new club is formed They were able to gather 25 people in total(including themselves). They decide to create a board to handle the club functionalities. a) They decide to create a board committee of 4 people. In how many ways can it be done? __________ b) Let's say the board decides to have the following designations: President, Technical Head, Event Head and Treasurer. In how...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT