SOLUTION: The number of ways in which five identical balls can be distributed among ten identical boxes so that no box contains more than one ball is? Also explain how.

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Question 1089206: The number of ways in which five identical balls can be distributed among ten identical boxes so that no box contains more than one ball is?
Also explain how.

Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is the same as to ask: In how many ways you can select 5 boxes among 10 identical boxes.

The answer is C%5B10%5D%5E5 = %2810%2A9%2A8%2A7%2A6%29%2F%281%2A2%2A3%2A4%2A5%29 = 252 ways.

C%5B10%5D%5E5 is the number of combinations of 10 items taken 5 at a time.

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".