Part 4 of 4 of 5 points Points: 0.75 of 1 Sav A survey of 81 college students was taken to determine where they got the news about whats going on in the world. Of those surveyed, 25 got the news from news websites, 40 from social medla, and 10 from both news websties and social media. Construct a Venn diagram an determine the cardinallity for each region. Use the completed Venn Diagram to answer the following questions. How many got the news from only news websites? \( n( \) News websites only) \( =15 \) How many got the news from only social media? n (Social media only) \( =30 \) How many got the news from news websites or social media? \( n( \) News websites or Social media) \( =55 \) How many did not get the news from either news websites or socilal medla? \( n( \) Neither \( )= \) \( \square \)

Let's break it down with a sense of flair! Imagine a bustling college campus where 81 students represent the buzzing hive of news consumption. When we look at the numbers, we see that 25 students get their news from news websites, while 40 are scrolling through social media. However, a cozy 10 students are multitasking, getting their news from both sources. Now, to solve for those who don't tap into either news vein, we can use the total count! So, we’ve established that: - News websites only: 15 - Social media only: 30 - Both: 10 To find the total number of students who engage with either source (news websites or social media), we sum the unique and overlapping parts: \[ 15 (news only) + 30 (social media only) + 10 (both) = 55 \] This means that \( n \) (Neither) is determined by subtracting this count from the total number of students: \[ 81 - 55 = 26 \] So, 26 students are blissfully unaware of both news websites and social media! What a serene existence! 😄