Assume that there are 4 types of upholstery, 4 types of wood, and 5 designs to choose from. Of the designs, 4 designs permit both a choice of wood and a choice of upholstery, but 1 of the design allows only a choice of upholstery. How many different chairs can be made?

Assume that there are 4 types of upholstery, 4 types of wood, and 5 designs to choose from. Of the designs, 4 designs permit both a choice of wood and a choice of upholstery, but 1 of the design allows only a choice of upholstery. How many different chairs can be made?

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

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Assume that there are 4 types of upholstery, 4 types of wood, and 5 designs to choose from. Of the
designs, 4 designs permit both a choice of wood and a choice of upholstery, but 1 of the design
allows only a choice of upholstery.
How many different chairs can be made?

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