Question:
The number of ways to distribute 8 identical books into 4 distinct bookshelf is (where any bookshelf can be empty)
The number of ways to distribute 8 identical books into 4 distinct bookshelf is (where any bookshelf can be empty)
Updated On: Jan 13, 2026
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Correct Answer: 165
Solution and Explanation
The answer is 165.
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Concepts Used:
Permutations
A permutation is an arrangement of multiple objects in a particular order taken a few or all at a time. The formula for permutation is as follows:
\(^nP_r = \frac{n!}{(n-r)!}\)
nPr = permutation
n = total number of objects
r = number of objects selected
Types of Permutation
- Permutation of n different things where repeating is not allowed
- Permutation of n different things where repeating is allowed
- Permutation of similar kinds or duplicate objects