Can anyone explain the solution in simple terms

Question

The question is as follows :-

A group of 180 people watched movies on Netflix, of which 95 watched Interstellar, 100 watched Avatar, and 100 watched RRR. 50 people watched Interstellar and Avatar, 40 watched Avatar and RRR, and 55 watched Interstellar and RRR. Find the number of people who watched only RRR and Avatar

Answer 1

Using sets, you can see that number of people who saw Interstellar (95) is equal to n(people who only saw Interstellar) + n(people who saw Interstellar and Avatar) + n(people who saw Interstellar and RRR). This is the same for the other two as well.

Then, we have n(people who watched Interstellar and Avatar) = 50 and n(people who watched Interstellar and RRR) = 55. Using this information, you can find n(people who only saw Interstellar). Similarly, you can find the number of people who only watched Avatar and RRR.

Finally, the number of people who watched RRR and Avatar would be the intersection of people who only watched Avatar and people who only watched RRR.