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Math 106L Study Guide

by: Abby McCarty

Math 106L Study Guide Math 106L

Marketplace > Glenville State College > Math > Math 106L > Math 106L Study Guide
Abby McCarty


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About this Document

These cover fundamental counting principal, and permutations.
Math 106
Mr. David Bailey
Study Guide
50 ?




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This 2 page Study Guide was uploaded by Abby McCarty on Tuesday September 20, 2016. The Study Guide belongs to Math 106L at Glenville State College taught by Mr. David Bailey in Fall 2016. Since its upload, it has received 36 views. For similar materials see Math 106 in Math at Glenville State College.


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Date Created: 09/20/16
[Permutations] Fundamental Counting Principal: How many outcomes you can get. Ex. You have a choice of 5 shirts (blue, pink, purple, green & red), 6 pants (black, grey, blue, green, red, & pink), and 4 pairs of shoes (blue, black, red, & green) to wear today. How many outfits can you create? 5 x 6 x 4 = 120 There's 120 outfits you can make today. Ex. You need to design your own license plate. The pattern is 3 letters, and 2 numbers. Keep in mind that there are 26 letters in the alphabet, and you can use any number 0-9, making 10 number choices. You can repeat all letters and numbers. 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000. There's 17,576,000 ways you can design the license plate. Permutations: Permutations: order matters & there's no repetitions. Formula: __N!___ (n-r)! != factorial Ex. If 5 people are joining a club, and you need a president, vice president, and a secretary, how many ways can the offices be filled? 5P 3= 5! 5! 5 x 4 x 3 x 2 x 1 = (5-3) 2! 2 x 1 = Since 2 and 1 are on both top and bottom of the problem, they cancel each other out. Now you only need to multiply the numbers that are left. 5x4x3=60 So, the answer is 60. **** to check your answer on your calculator enter the total number of items you have. In the above question we had 5 total people. So, enter 5 into your calculator. Now, find the probability button. Select nPr. Now enter the total number of people we are looking for. Since you are filling 3 positions, enter 3. Now just hit enter. You get 60. **** 2


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