SOLUTION: Hi can you please help me with this question (its to do with arrangments/combinations): A student representative committee of 5 is to be chosen from 4 males and 6 females. How m

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Question 1111646: Hi can you please help me with this question (its to do with arrangments/combinations):
A student representative committee of 5 is to be chosen from 4 males and 6 females. How many committees could be selected which contain more females than males?
Thankyou.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
There are 3 possible configurations:


    1.  3 females and 2 males;


    2.  4 females and 1 male;


    3.  5 females (and 0 males).


In case 1  the number of combinations is   C%5B6%5D%5E3.C%5B4%5D%5E2.


In case 2  the number of combinations is   C%5B6%5D%5E4.C%5B4%5D%5E1.


In case 3  the number of combinations is   C%5B6%5D%5E5.C%5B4%5D%5E0.


Now your task is calculate each of the 3 numbers and then calculate their sum.




If you still have questions, do not hesitate to message to me.

You can do it through the "Thank you" form/window.


In this case, refer to the problem ID number, which is  1111646.

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On Combinations,  see the 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.