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Question
Determine the number of ways in which 5 prizes can be distributed among 4 students.
Options:
A .  45
B .  54
C .  20
D .  5!/4
E .  9
Answer: Option A
:
A
Suppose there were no restrictions whatsoever and the problem simply said "How can you distributekprizes amongpstudents?".
For each prize, there areppossibilities for the recipient of that prize. In total, that means there arepp.....p(withkcopies ofpin the product) possible ways to assign the prizes. This is thepkpart.
or, we can say. This is a type of “Different to Different” question.
5 prizes can be distributed among 4 students in 45 ways.

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