How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may have no packages?
How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may have no packages?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may have no packages?
![**Simplify each binomial coefficient or permutation to factorial fractions:**
\[
\binom{n}{k} = \frac{n!}{(n-k)!k!} \quad P(n, k) = \frac{n!}{(n-k)!}
\]
*You need not simplify these expressions, such as \(15^4\) or \(17!\), in your response.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cb58778-70ba-4f7e-90ce-7267bd79a013%2Fb151193e-907e-4e54-a221-db63e592d8ab%2Fjggu0pq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Simplify each binomial coefficient or permutation to factorial fractions:**
\[
\binom{n}{k} = \frac{n!}{(n-k)!k!} \quad P(n, k) = \frac{n!}{(n-k)!}
\]
*You need not simplify these expressions, such as \(15^4\) or \(17!\), in your response.*
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