Question: In how many ways can 3 prizes be distributed among 5 students if each student can win more than one prize?
Options:
125
243
1250
100
Correct Answer: 125
Solution:
The number of ways = 5^3 = 125.
In how many ways can 3 prizes be distributed among 5 students if each student ca
Practice Questions
Q1
In how many ways can 3 prizes be distributed among 5 students if each student can win more than one prize?
125
243
1250
100
Questions & Step-by-Step Solutions
In how many ways can 3 prizes be distributed among 5 students if each student can win more than one prize?
Combinatorial Counting – This problem tests the understanding of distributing indistinguishable items (prizes) to distinguishable recipients (students) where each recipient can receive multiple items.
Exponential Counting Principle – The solution utilizes the principle that if each of the 3 prizes can go to any of the 5 students independently, the total number of distributions is calculated as 5 raised to the power of 3.
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