Unit 2-Permutations AssignmentComplete the following questions by showing all steps on your solutions. Submit the solutions onD2L as a PDF.1. There are 15 men and 18 women who belong to a club. An executive panel consisting of apresident, vice president, secretary and treasurer is being chosen.a) In how many ways could the executive panel be chosen with no restrictions?b) In how many ways could the executive panel be chosen if it must include least one woman andone man?2. From a group of 12 people, what is the probability that:a) none share a birthdayb) at least two of them share the same birthday?3. Seven children are to line up for a photograph.a) How many different arrangements are possible?b) How many arrangements are possible if Brenda is in the middle?c) How many arrangements are possible if Ahmed is on the far left and Yen is on the far right?d) How many arrangements are possible if Hanh and Brian must be together?4. I have the digits: 1, 2, 3, 4, 5, 6, 7. You must form a three-digit number. (Repetition not allowed)a) How many odd numbers can you form?b) How many numbers can you form that are odd and greater than 500?5. Solve for n if P(n, 3) 6P(n-1,2)(

There are 15 men and 18 women. We want to select 4 people out of 33 peoples. ( i ) with no…

Answered: 1. There are 15 men and 18 women who…

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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2. In the selection of 16 finalists, 3 finalists will be selected to participate in the next round, how many possible pairs will participate in the next round?
85 cities were surveyed to determine sports teams. 25 had soccer, 19 had rugby, 18 had basketball, 11 had soccer and rugby, 12 had soccer and basketball, 11 had rugby and basketball. 6 had all three. Let A = soccer, B = rugby, C = basketball. How many had only a basketball team? 1 How many had soccer and rugby, but not basketball? 5 How many had soccer or rugby? 33 How many had soccer or rugby, but not basketball? 16 How many had exactly two teams? U A I IV II VII VI III с B VIII
What type of situation is the following? There are 6 youth basketball teams in the final round of a regional tournament. In the end, two teams will be selected to enter a national competition. How many ways are there to choose 2 teams out of 6 to enter the national competition? a) unordered b) ordered c) ranked
1. A class of 16 students contains five Math majors, seven Engineering majors and four Physics majors. A group of three students from the class is to be selected to form a team for an academic competition. a.) How many teams can be formed that have a representative from each major? b.) How many teams can be formed that have exactly one Math major? c.) How many teams can be formed that have at least one Math major?
A survey of 68 customers was taken at a bookstore regarding the types of books purchased. The survey found that 41 customers purchased mysteries, 33 purchased science fiction, 26 purchased romance novels, 17 purchased mysteries and science fiction, 14 purchased mysteries and romance novels, 10 purchased science fiction and romance novels, and 3 purchased all three types of books. a) How many of the customers surveyed purchased only mysteries? b) How many purchased mysteries and science fiction, but not romance novels? c) How many purchased mysteries or science fiction? d) How many purchased mysteries or science fiction, but not romance novels? e) How many purchased exactly two types of books?
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be 3 students on the committee b) there must be no more than 2 teachers on the committee c) there must be at least one teacher and at least one student on the committee d) Barry and Miss Morrison cannot be on the committee together.

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