SOLUTION: From a group of 6 girls and 7 boys, how many 5-member committees consist of: members of the same gender?

Algebra.Com
Question 1162946: From a group of 6 girls and 7 boys, how many 5-member committees consist of: members of the same gender?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Number of the 5-boys committees is   =  = 7*3 = 21.


Number of the 5-girls committees is   = 6.


In total,  21 + 6 = 27  five-members committees consisting of the same gender.    ANSWER

Solved.

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

On Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - 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

From a group of 6 girls and 7 boys, how many 5-member committees consist of: members of... (answered by greenestamps)
From a group of 6 girls and 7 boys, how many 5-member committees consist of : more... (answered by jim_thompson5910)
From a group of 6 girls and 7 boys, how many 5-member committees consist of (a) 3 girls (answered by Edwin McCravy)
From a group of 6 girls and 7 boys, how many 5-member committees consist of : 3 girls... (answered by KMST,ikleyn)
From a group of 6 girls and 7 boys, how many 5-member committees consist of : more... (answered by math_helper)
Explain how you would find out how many committees of 4 boys and 2 girls can be found... (answered by lynnlo)
How many ways can a committee of 2 boys and 2 girls and an alternate of either gender be... (answered by Edwin McCravy)
How many different four-person committees can be formed from a group of six boys and four (answered by richard1234)
A class consists of 12 boys and 15 girls. How many different committees of four can be... (answered by Edwin McCravy)