Question

In how many ways can 5 prizes be distributed among four students when every student can take one or more prizes

Answer 1

EXAMPLE:

In how many ways can 5 prizes be distributed to 8 students if each student can get any number of prizes?

SOLUTION:

A prize can be given to any one of the 8 students in (8/1)=8 ways

So, each prize can be distributed in (8/1)=8 ways

5  prizes can be distributed in  (8/1)×(8/1)×(8/1)×(8/1)×(8/1)

=  85 ways

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