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  • In how many ways 8 distinct chocolates can be distributed among 4 children so that each one gets any number of chocolates?Option: 1 <img alt="4^{8}"

In how many ways 8 distinct chocolates can be distributed among 4 children so that each one gets any number of chocolates?

Option: 1

4^{8}


Option: 2

8^{4}


Option: 3

4 !


Option: 4

8 !


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 chocolates \mathrm{n=8}
number of students \mathrm{r=4}

Using the equation, we obtain: \mathrm{r^{n}=4^{8}}
Total number of ways: \mathrm{(65536) 4^{8}}

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