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5. There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g., (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct), so order is important.) (a) How many possible outcomes are there? (b) In how many of these outcomes do all three people have their birthday in different months? (c) In how many of these outcomes do at least two people have their birthday in the same month?

5. There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g., (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct), so order is important.) (a) How many possible outcomes are there? (b) In how many of these outcomes do all three people have their birthday in different months? (c) In how many of these outcomes do at least two people have their birthday in the same month?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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5. There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g., (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct), so order is important.) (a) How many possible outcomes are there? (b) In how many of these outcomes do all three people have their birthday in different months? (c) In how many of these outcomes do at least two people have their birthday in the same month?
Transcribed Image Text:5. There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g., (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct), so order is important.) (a) How many possible outcomes are there? (b) In how many of these outcomes do all three people have their birthday in different months? (c) In how many of these outcomes do at least two people have their birthday in the same month?
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