SOLUTION: A bank teller is needed in each of the 7 branches. If there are 10 equally qualified applicants, how many ways can the job be filled?

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Question 1193325: A bank teller is needed in each of the 7 branches. If there are 10 equally qualified applicants, how many ways can the job be filled?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

In  C%5B10%5D%5E7 = %2810%21%29%2F%287%21%2A%2810-7%29%21%29 = %2810%21%29%2F%287%21%2A3%21%29 = %2810%2A9%2A8%29%2F%281%2A2%2A3%29 = 120 different ways.    ANSWER

Solved.

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Since the order of persons does not matter,  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.