High School

We appreciate your visit to In a town of 20 000 residents each resident reads either Town s News or Announcer or both newspapers Out of the 20 000 residents. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

In a town of 20,000 residents, each resident reads either "Town's News" or "Announcer," or both newspapers. Out of the 20,000 residents, 12,420 read "Town's News" and 11,540 read "Announcer." How many residents read both newspapers?​

Answer :

Final answer:

The number of residents who read both newspapers is calculated using the principle of inclusion and exclusion, and it is 3,960 residents.

Explanation:

To calculate the number of people who read both newspapers, one should use the principle of inclusion and exclusion. The total number of readers of both newspapers is given to be the sum of the number of 'Town's news' readers and 'Announcer' readers.

However, this method counts those residents who read both newspapers twice. Therefore, we need to subtract the combined total of readers from the total population. The calculation would be:

Total population - (Readers of 'Town's news' + Readers of 'Announcer')

Implementing the given figures, it becomes: 20,000 - (12,420 + 11,540) = 20,000 - 23,960 = -3,960.

However, since we can't have negative numbers in this scenario, the correct interpretation is that 3,960 residents read both newspapers. This is because the absolute value of -3,960 gives us the overlap in the Venn diagram representing readers of 'Town's news' and 'Announcer'.

Learn more about Inclusion-Exclusion Principle here:

https://brainly.com/question/35890462

#SPJ11

Thanks for taking the time to read In a town of 20 000 residents each resident reads either Town s News or Announcer or both newspapers Out of the 20 000 residents. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada