SOLUTION: A special committee of 5 members is to be chosen from 6 freshman and 4 sophomores. Fine the number of ways in which this can be done if there are no restrictions.

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Question 1162945: A special committee of 5 members is to be chosen from 6 freshman and 4 sophomores. Fine the number of ways in which this can be done if there are no restrictions.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The number of combinations of  6 + 4 = 10 items taken 5 at a time


     C%5B10%5D%5E5 = %2810%2A9%2A8%2A7%2A6%29%2F%281%2A2%2A3%2A4%2A5%29 = 252.    ANSWER

Solved.

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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.