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  • In how many ways can 5 balls of different colours be distributed among 7 persons, so that each person gets at least one ball?Option: 1 10024</div

In how many ways can 5 balls of different colours be distributed among 7 persons, so that each person gets at least one ball?

Option: 1

10024


Option: 2

12260


Option: 3

16250


Option: 4

16800


Answers (1)

best_answer

Empty box is allowed

So, number of ways of distributing \mathrm{'n'} distinct things in \mathrm{'r'} identical places can be computed by the formula,

Here, number of balls \mathrm{n=5}
number of persons \mathrm{r=7}

Using the equation, we obtain:

\mathrm{5^{7}-5 c_{1}(5-1)^{7}+5 c_{2}(5-2)^{7}-5 c_{3}(5-3)^{7}+5 c_{4}(5-4)^{7}=16800}

Total number of ways: 16800

Posted by

Pankaj Sanodiya

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