Jordan has seven t-shirts, four skirts, twenty pairs of socks, and four pairs of shoes in their closet at the end of the month.  Part 1: Why the methods used in the previous two problems would be inefficient in determining the number of different outfits Jordan could wear.  Fundamental Principle of Counting, determine how many outfits Jordan could wear.  How many phone numbers can be made if all the digits (that is, numbers 0-9 which is 10 digits) need to be filled in and any single digit number (0-9) can be used for any digit?  How many phone numbers can be made if the first digit must be 2, the second digit must be a number in the range 4-6, the third digit must be a number in the range 7-9, and the last seven digits can be any single digit number 0-9?  There is a bag full of 30 different colored and/or patterned marbles. How many different three marble combinations can you have if you pull marbles balls out of the bag?  Part 2: Write down (in factorial form) the total number of possible combinations there are if you draw all the balls out of the bag one at a time.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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  1. Jordan has seven t-shirts, four skirts, twenty pairs of socks, and four pairs of shoes in their closet at the end of the month. 

Part 1: Why the methods used in the previous two problems would be inefficient in determining the number of different outfits Jordan could wear. 

Fundamental Principle of Counting, determine how many outfits Jordan could wear. 

How many phone numbers can be made if all the digits (that is, numbers 0-9 which is 10 digits) need to be filled in and any single digit number (0-9) can be used for any digit? 

How many phone numbers can be made if the first digit must be 2, the second digit must be a number in the range 4-6, the third digit must be a number in the range 7-9, and the last seven digits can be any single digit number 0-9? 

There is a bag full of 30 different colored and/or patterned marbles. How many different three marble combinations can you have if you pull marbles balls out of the bag? 

Part 2: Write down (in factorial form) the total number of possible combinations there are if you draw all the balls out of the bag one at a time. 



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