SOLUTION: From a group of 15 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can the study group be selected?

Algebra.Com
Question 1178636: From a group of 15 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can the study group be selected?

Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.

In    different ways.

Solved.

-----------------

This problem is to use two conceptions of Combinatorics.

One conception is Combinations.
The other conception is the Fundamental counting principle.


Learn about both these conceptions from these introductory lessons,  provided to you in this site
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Fundamental counting principle problems
    - OVERVIEW of lessons on Permutations and Combinations
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



RELATED QUESTIONS

in how many ways can a committee of three men and four women be formed from a group of 12 (answered by Edwin McCravy)
In how many ways can a committee of four men and three women be formed from a group of 15 (answered by chineseballer06)
In how many ways can a committee consisting of 3 men and 7 women be selected from a group (answered by math_tutor2020)
In how many ways can a committee of three men and four women be formed from a group of 8... (answered by ewatrrr)
how many are there for selecting four men and five women from a list of 10 men and 8... (answered by stanbon)
A group of 10 men and 13 women at a business select 7 from their group to attend a... (answered by jim_thompson5910)
Please show me how to use combinations to solve: How many ways can a committee of 6 men... (answered by Edwin McCravy)
In how many ways can a committee consisting of 3 men and 4 women be selected from a group (answered by rfadrogane)
In how many ways can a committee of three men and four women be formed from a group of 11 (answered by ewatrrr)