SOLUTION: A stock brokerage firm has received nine enquiries regarding new accounts. In how many ways can these inquiries be directed to any three of the firm’s account executives, if each

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Question 1120301: A stock brokerage firm has received nine enquiries regarding new accounts. In how many ways can
these inquiries be directed to any three of the firm’s account executives, if each account executive is
to handle three inquiries?

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
In  C%5B9%5D%5E3%2AC%5B6%5D%5E3 ways = %289%2A8%2A7%29%2F%281%2A2%2A3%29%29.%286%2A5%2A4%29%2F%281%2A2%2A3%29 ways = 1680 ways.


You can assign 3 enquiries of the 9 to one executive;  3 of the remaining 6 to another executive; and the three remaining enquiries to the third executive.

Combinations.

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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.