SOLUTION: a manager wants to assign 20 workers to 4 district construction job. these jobs require 6,4, 3 and 7 workers respectively. in how many different ways can the manager assign the wor

Algebra ->  Permutations -> SOLUTION: a manager wants to assign 20 workers to 4 district construction job. these jobs require 6,4, 3 and 7 workers respectively. in how many different ways can the manager assign the wor      Log On


   

Question 1080697: a manager wants to assign 20 workers to 4 district construction job. these jobs require 6,4, 3 and 7 workers respectively. in how many different ways can the manager assign the worker ?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The number of different ways = C%5B20%5D%5E6%2AC%5B14%5D%5E4%2AC%5B10%5D%5E3,

where C%5Bm%5D%5En = m%2A%28%28m-1%29%2A%28m-2%29%2Aellipsis%2A%28m-n%2B1%29%29%2F%281%2A2%2A3%2Aellipsis%2An%29 is the number of combinations of m items taken n at a time.


On combinations, see the 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".