SOLUTION: One fateful evening, seven different fires erupt around town. The local fire station houses 21 distinct fire trucks. The fire chief is instructed to dispatch exactly three trucks t

Algebra ->  Permutations -> SOLUTION: One fateful evening, seven different fires erupt around town. The local fire station houses 21 distinct fire trucks. The fire chief is instructed to dispatch exactly three trucks t      Log On


   



Question 1115779: One fateful evening, seven different fires erupt around town. The local fire station houses 21 distinct fire trucks. The fire chief is instructed to dispatch exactly three trucks to fight each of the blazes. In how many ways can the trucks be dispatched ?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
In  C%5B21%5D%5E3.C%5B18%5D%5E3.C%5B15%5D%5E3.C%5B12%5D%5E3.C%5B9%5D%5E3.C%5B6%5D%5E3.C%5B3%5D%5E3 = 21%21%2F%283%21%29%5E7 = 21%21%2F6%5E7 ways.

=============
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.