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  • In how many ways 5 different fruits can be distributed among 4 students so that each one gets 0 or more fruits?Option: 1 1024<div class

In how many ways 5 different fruits can be distributed among 4 students so that each one gets 0 or more fruits?

Option: 1

1024


Option: 2

1260


Option: 3

6250


Option: 4

1800


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 fruits \mathrm{n=5}
number of students \mathrm{r=4}

Using the equation, we obtain:

\mathrm{r^{n}=4^{5}=1024}

Total number of ways: 1024

Posted by

Rishi

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