SOLUTION: From a group of 6 men and 4 women we have to choose a committee of 5 people. How many committees are possible if there are no restrictions?

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Question 1191836: From a group of 6 men and 4 women we have to choose a committee of 5 people. How many committees are possible if there are no restrictions?
Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
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From a group of 6 men and 4 women we have to choose a committee of 5 people.
How many committees are possible if there are no restrictions?
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There are  C%5B6%2B4%5D%5E5 = C%5B10%5D%5E5 = %2810%2A9%2A8%2A7%2A6%29%2F%281%2A2%2A3%2A4%2A5%29 = 252 different committees.    ANSWER

Solved.

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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
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.