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  • In how many ways can 6 different candies be distributed to 3 people such that each one can get any number of candies?Option: 1 180<div

In how many ways can 6 different candies be distributed to 3 people such that each one can get any number of candies?

Option: 1

180


Option: 2

216


Option: 3

 729


Option: 4

810


Answers (1)

best_answer

Empty box is allowed

So, number of ways of distributing \mathrm{n} distinct objects among \mathrm{'r'} identical places such that each one is filled with zero or more things is \mathrm{r^{n}}

Here, number of pens \mathrm{n= 5}
number of students \mathrm{r= 3}

Using the equation, we obtain:
\mathrm{r^{n}=3^{6}=729}

Total number of ways: 729

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Sayak

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