SOLUTION: I can write the formula for this problem but seem to be solving it wrong, please help. A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for t

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Question 1183567: I can write the formula for this problem but seem to be solving it wrong, please help.
A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company bowling team. How many different teams can be formed?

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

C%288%2C3%29%2AC%287%2C3%29=56%2A35=1960 different teams can be formed

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.

You select 3 men from 8 males by  C%5B8%5D%5E3 = %288%2A7%2A6%29%2F%281%2A2%2A3%29 = 56 different ways.


You select 3 women from 8 females by  C%5B7%5D%5E3 = %287%2A6%2A5%29%2F%281%2A2%2A3%29 = 36 different ways.


HENCE, you can nominate 3 men and 3 women by 56*36 = 1960 different ways.


The formula is  C%5B8%5D%5E3%2AC%5B7%5D%5E3.

Solved and carefully explained.

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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
    - 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.