What is the number of ways in which 5 identical balls can be distributed among 10 identical boxes?

. It is the same as to ask: In how many ways you can select 5 boxes among 10 identical boxes.

The answer is

is the number of combinations of 10 items taken 5 at a time.

    - Introduction to Combinations

    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".

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