The Star Trek Fandom have been somewhat divided into those who liked the Star Trek: The Original Series (TOS), Star Trek: The Next Generation (TNG), and the movies by J.J. Abrams (Reboot). If in a convention, 53 people liked TOS, 52 people liked TNG, 42 people liked the Reboot, of whom 30 liked both TOS and TNG, 17 liked both TNG and the Reboot, 25 liked both TOS and the Reboot, and 10 liked all three, 15 did not like any, how many people in the convention were asked?

The Star Trek Fandom have been somewhat divided into those who liked the Star Trek: The Original Series (TOS), Star Trek: The Next Generation (TNG), and the movies by J.J. Abrams (Reboot). If in a convention, 53 people liked TOS, 52 people liked TNG, 42 people liked the Reboot, of whom 30 liked both TOS and TNG, 17 liked both TNG and the Reboot, 25 liked both TOS and the Reboot, and 10 liked all three, 15 did not like any, how many people in the convention were asked?

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...

See similar textbooks

Similar questions

Some people achieve cult like status after their death, such as Jimi Hendrix. Brad has a list of nine such people and would like to propose some documentaries about three of them. If there are nine people to choose from on the list, in how many ways could Brad pick groups of three?
A group of 13 people consisting of 3 freshmen, 2 sophomores, 4 juniors, and 4 seniors are selected from 6 freshmen, 5 sophomores, 5 juniors, and 7 seniors. How many groups can be formed?
A hand consists of 4 cards dealt from an ordinary deck of 52 cards. How many hands are there containing exactly 1 jack, 1 ace, and 2 black cards?
Suppose that in a survey of five-year-olds, 45% liked the letter A, 54% liked the letter B, and 50% liked the letter of C. 29% liked A and B, 28% liked A and C, 29% liked B and C, and 15% liked all of them. What percentage liked A and B but not the letter C?
A student has an average of 88 on seven chapter tests. If the student's score on six of the tests are 91,91,92,82,91, and 70, what was the score on the remaining test?
Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent year: George LucasGeorge Lucas (55005500), Steven SpielbergSteven Spielberg (37003700), Oprah WinfreyOprah Winfrey (32003200), Michael JordanMichael Jordan (17001700), Paul McCartneyPaul McCartney (12001200), and Jerry SeinfeldJerry Seinfeld (950950) . Find the range, variance, and standard deviation for the sample data. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?
You're the head chair of a popular clan of 30 video-game streamers, who go viral on various video streaming platforms for annihilating the opposition in the hottest contemporary video games. Among the many things entailed by being in this clan, these streamers often go to e-sports (competitive gaming) competitions aiming to win fame, glory, and huge prizes. Here's the thing: The hottest new battle royale shooter just released last month, and a popular gaming convention has announced that they'll be hosting a competition with it. This competition has a huge entry fee, but huge reward payouts, and the whole world will be watching. While everyone knows that your clan has only the most elite, most pro gamers, you wouldn't want to take any risk of humiliating your organization and wasting money in the process. Therefore, when this new game released last month, you assigned all your clan members to play it as much as possible and document when they win. You pooled the data at the end of the…
Suppose that in a survey of five-year-olds, 40% liked the letter A, 51% liked the letter B, and 39% liked theletter of C. 11% liked A and B, 12% liked A and C, 19% liked B and C, and 5% liked all of them. Howmany liked A and B but not the letter C?
An opinion poll contacts 1021 adults and asks them, which political party do you think has better ideas for leading the country in the twenty first century? In all, 723 of the 1021 day, the democrats. The sample in the setting is? (a) all 220 million adults in the U.S. (b) the 1022 people interviewed (c) the 723 people who chose the democrats.
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?