Choose your candies

In how many ways can we choose 6 pieces of candy from 8 different brands that are available?

E.g. You can pick 6 pieces all of the first brand, or you can pick 3 pieces of the third brand and 3 pieces of the fifth brand.


The answer is 1716.

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1 solution

Nicolas Bryenton
Sep 3, 2014

The formula for choosing n things from m types with repetition allowed is ( m + n 1 n 1 ) \dbinom{m+n-1}{n-1} .

Simply substitute and end up with \boxed { 1716}

Nothing is told about repetitions..I am reporting this

Jayakumar Krishnan - 6 years, 9 months ago

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That is implicit in the phrasing of the question. I've added further clarification.

Calvin Lin Staff - 6 years, 9 months ago

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