Question:
In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes?
In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes?
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Use the stars and bars method for distributing identical items among distinct groups.
Updated On: Mar 25, 2026
- 1024
- 625
- 120
- 600
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Use the stars and bars method.
The stars and bars method is used to calculate the number of ways of distributing \( n \) identical items among \( r \) groups. The number of ways is given by \( r^n \). In this case, there are 4 boys and 5 prizes, so the total number of ways is \( 4^5 = 1024 \).
Thus, the correct answer is (1).
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