A probability problem by Paola Ramírez

Probability Level 3

A sweet shop offers cookies of 5 flavors. How many ways can we buy 20 cookies?

Note: The order is not important.


The answer is 10626.

Paola Ramírez by Paola Ramírez , 24, Mexico

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1 solution

As order does not matter, this problem is solved the Stars and Bars Technique:

We have to place 20 indistinguishable cookies into 5 labeled urns (one for each flavour), which can be done in ( 24 4 ) = 10626 \left( \begin{matrix} 24 \\ 4 \end{matrix} \right) =10626 ways.

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