Question
MATH399 Applied Managerial Statistics
Week 3 Assignment Counting Principles
QuestionYou are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you won’t be selected?
QuestionThere are 11 people in a group. Four of them are selected to be on a panel. If John is in the group, what is the probability he won’t be selected to be on the panel?
QuestionThe residents of a city rank the six cell phone companies in their area. What is the probability that you will get all six companies ranked in the correct order?
•             Write your answer as an exact fraction which is reduced as much as possible.
QuestionYou pick a letter at random from a 26-letter alphabet. If you pick five letters, with repeating letters allowed, what is the probability to select all A’s?
QuestionWrite the first three terms of the sequence whose general term is an=1n!(n−1)!.
QuestionWrite the first three terms of the sequence whose general term is an=(n−1)!(n+2)!.
QuestionThere are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2 of the 22 students, then what is the probability that neither will be selected to be on the panel?
QuestionA combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive, and numbers can be used more than once. What is the probability someone can guess the correct combination given 100 attempts?
QuestionThe local library releases the top 6 best written books of the year and you decide to read all of them. If you choose to read the top 3 books in order of best to least, at random, what is the probability that you read the top 3 books in the incorrect order?
•             Write your answer as an exact fraction which is reduced as much as possible.
QuestionWrite the first three terms of the sequence whose general term is an=(2n)!.
QuestionAn elementary school art class teacher plans to display artwork next to the door of each of the classrooms in the school. Each classroom door will only have one piece of artwork displayed, and the school has 35 such doors. If the teacher has 22 oil paintings and 17 sketches, what is the probability that 19 oil paintings and 16 sketches are chosen to be displayed?
(3919)(3916)(3935)
(2219)(1716)(3935)
(19!)(16!)35!
(22!)(17!)(3935)
(2219)(1716)35!
QuestionWrite the first three terms of the sequence whose general term is an=(3n)!.

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