More on Problems Related to Sets

🎉 You’ve made it to the final lesson of this course module! 🎉

🎯Objective:

By the end of this lesson, you’ll be able to solve multi-step problems that integrate sets with other mathematical concepts, such as probability and algebra. You’ll use the skills you’ve learned in previous lessons to tackle more complex problems involving multiple sets.

Now that you’re familiar with all the basic and intermediate concepts, it’s time to level up and dive deeper into more advanced topics. 

In this video, we’ll explore multi-step problems that combine sets with other mathematical concepts like probability.

Consider the following example to freshen things up 😉.

From a group of 120 students, 41 learn agriculture, 47 learn music and 42 learn health science. 14 students learn agriculture and music, 19 learn music and health science, 25 learn agriculture and health science and 8 learn all three subjects. Represent this information in a Venn diagram and thereby determine the following.

   (i) The number of students who learn only agriculture
  (ii) The number of students who learn only one of these subjects
 (iii) The number of students who learn at least two of these subjects
 (iv) The number of students who do not learn any one of these three subjects

Let us find the number of elements in the remaining regions using the given information.

 (i) 10 
 (ii) 10 + 22 + 6       = 38
 (iii) 17 + 6 + 11 + 8 = 42
 (iv) 40