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How many ways are possible to distribute 5 distinct objects among 6 students, such that each of them gets any number of objects?

Option: 1

4250


Option: 2

8253


Option: 3

7776


Option: 4

5440


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 objects \mathrm{n=5}
number of students \mathrm{r=6}

Using the equation, we obtain:

\mathrm{r^{n}=6^{5}=7776}

Total number of ways: 7776

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mansi

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