SOLUTION: How many different committees with 4 members can be formed from a group with 7 seniors and 6 juniors if there are equal number of seniors and juniors in each committee?

Algebra ->  Permutations -> SOLUTION: How many different committees with 4 members can be formed from a group with 7 seniors and 6 juniors if there are equal number of seniors and juniors in each committee?      Log On


   

Question 1178922: How many different committees with 4 members can be formed from a group with 7 seniors and 6 juniors if there are equal number of seniors and juniors in each committee?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

    C%5B7%5D%5E2%2AC%5B6%5D%5E2  =  21*15  =  315     different committees can be formed.              ANSWER.


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


This problem is on  COMBINATIONS.


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.