(9) Let n and k be positive integers. Recall from lecture that a weak composition of n into k parts is ak-tuple (a₁,..., ak) of nonnegative integers such that a₁ + ... + ak = n, while a (strong)composition of n into k parts is the same except a₁, ..., a have to be positive integers.Find a bijection between the set of weak compositions of n into k parts and the set of strongcompositions of n + k into k parts.(10) A student wants to distribute 15 hours of work across 7 days of the week so that they are workingan integer amount of hours each day. However, they also want to have exactly two days of the weekwith no work. How many ways can they do this?

9.For be positive integers, a weak composition of into parts is a -tuple of nonnegative integers…

Answered: (9) Let n and k be positive integers.…

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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