Question 1061927
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Counting Methods A company has 12 male and 10 female employees, and needs to nominate 3 men and 3 women for the company bowling team. 
How many different teams can be formed?
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<U>Answer</U>.  {{{C[12]^3}}}.{{{C[10]^3}}} = 220*120 different teams can be formed.


<U>Solution</U>


You can choose 3 men of 12 by {{{C[12]^3}}} ways = {{{(12*11*10)/(1*2*3)}}} = 2*11*10 = 220 ways.


You can choose 3 women of 10 by {{{C[10]^3}}} ways = {{{(10*9*8)/(1*2*3)}}} = 10*3*4 = 120 ways.


You can then combine men and women by 220*120 ways.



On Combinations, see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =https://www.algebra.com/algebra/homework/Permutations/OVERVIEW-the-lessons-on-Permutations-and-Combinations.lesson>OVERVIEW of lessons on Permutations and Combinations</A>

in this site.


Also, you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


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