Intermediate
Discrete Mathematics & Math
Q77 / 100
In how many ways can 5 distinct books be distributed among 3 distinct shelves, if each shelf may hold any number of books (including zero)?
Correct! Well done.
Incorrect.
The correct answer is B) 243
B
Correct Answer
243
Explanation
Each of the 5 distinct books independently chooses one of 3 shelves, giving 3^5 = 243 distributions. This is the standard counting rule for placing distinguishable objects into distinguishable bins with no restriction.
Progress
77/100