Question

a survey of 102 college students was taken to determine where they got the news about whats going on in the world. of those surveyed, 31 got the news from news websites, 23 from social media, and 7 from both news websites and social media. construct a venn diagram and determine the cardinality 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) =

Explanation:

Step1: Identify the relevant sets

Let set $A$ be the set of students who get news from news - websites and set $B$ be the set of students who get news from social media. We know $n(A)=31$, $n(B)=23$, and $n(A\cap B)=7$.

Step2: Calculate the number of students from only news - websites

The number of students who get news from only news - websites is given by $n(A)-n(A\cap B)$.
$n(A)-n(A\cap B)=31 - 7$

Answer:

$24$