Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress shirts for a trip. (a) How many different outfits can Jack make with these items? (b) If Jack were to bring along 4 sweaters so that he could wear either a dress shirt or a sweater or he could wear both a dress shirt and a sweater, how many outfits could Jack make? (a) Jack can make (Type a whole number.) different outfits with these items. (b) Jack can make different outfits with these items. (Type a whole number.)

Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress shirts for a trip. (a) How many different outfits can Jack make with these items? (b) If Jack were to bring along 4 sweaters so that he could wear either a dress shirt or a sweater or he could wear both a dress shirt and a sweater, how many outfits could Jack make? (a) Jack can make (Type a whole number.) different outfits with these items. (b) Jack can make different outfits with these items. (Type a whole number.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.

Question

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Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress shirts for a
trip.
(a) How many different outfits can Jack make with these items?
(b) If Jack were to bring along 4 sweaters so that he could wear either a dress shirt or a sweater or he could
wear both a dress shirt and a sweater, how many outfits could Jack make?
(a) Jack can make
(Type a whole number.)
different outfits with these items.
(b) Jack can make different outfits with these items.
(Type a whole number.)

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