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In how many ways 5 different pens can be distributed among 3 students so that each one gets 0 or more pens?

Option: 1

243


Option: 2

260


Option: 3

150


Option: 4

180


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^{5}=243}

Total number of ways: 243

Posted by

Riya

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