In certain class,12 students study history, 13 study government and 15 study Akan. Each student in the class study at least one of the three subjects, 6 students study two of the three subjects and 3 students study All three subjects. Find 1. The number of students who are in the class . 2. Those who study only one subject. 3 . Illustrate the information on the Venn diagram.

Answer 1

1. To find the number of students in the class, we can add the number of students who study each subject, and then subtract the number of students who study two or three subjects more than once:

12 + 13 + 15 - 6 - 3 = 31

Therefore, there are 31 students in the class.

2. To find the number of students who study only one subject, we need to subtract the number of students who study two or all three subjects from the total number of students:

31 - 6 - 3 = 22

Therefore, 22 students study only one subject.

3. The Venn diagram representing this information would have three circles overlapping in the center. The left circle would represent history, the right would represent government, and the bottom would represent Akan.

In the overlap between history and government, there would be 6 students. In the overlap between government and Akan, there would also be 6 students. In the overlap between history and Akan, there would be 6 students.

Finally, in the very center of all three circles, there would be 3 students.

The remaining areas of each of the three circles would represent the students who study each subject exclusively, with 6 students studying only history, 7 students studying only government, and 9 students studying only Akan.