SOLUTION: An environmental agency will randomly select 4 houses from a block containing 25 houses for a random check. How many total selections are possible? How many permutations are possib

Question 1164446: An environmental agency will randomly select 4 houses from a block containing 25 houses for a random check. How many total selections are possible? How many permutations are possible?
Answer by ikleyn(52915) (Show Source): You can put this solution on YOUR website!
.


If the order does not matter, then the problem is about combinations and the answer is


     =  = 12650.



If, in opposite, the order does matter, then the problem is about permutations, and the answer is


    25*24*23*22 = 303600.

Solved, answered and explained.

-------------------

On Combinations and Permutations, see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Special type permutations problems
    - Problems on Permutations with restrictions
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Miscellaneous problems on permutations, combinations and other combinatoric entities
    - Fundamental counting principle problems
    - Nice recreational problems on permutations

    - OVERVIEW of lessons on Permutations and Combinations
in this site.   //   I listed here the "introductory" lessons only . . .

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.

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