In a 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. Total number of students in the class = 12 + 13 + 15 - 6 - 3 = 31
2. Number of students who study only one subject = (12-3) + (13-6) + (15-3) = 8+7+12 = 27.
3. Venn diagram:
[Note: The Venn diagram will not be accurately represented since we do not have access to a visual diagram.]

* There will be three circles, one for each subject.
* Twelve students study History, so put 12 inside the circle labeled "History".
* Thirteen students study Government, so put 13 inside the circle labeled "Government".
* Fifteen students study Akan, so put 15 inside the circle labeled "Akan".
* Six students study both History and Government, so draw a line connecting the History and Government circles and put 6 inside the overlapping area.
* Three students study all three subjects, so put 3 inside the small area where all three circles overlap.
* To find the number of students who study only one subject, subtract the numbers in the overlapping areas from the numbers in the individual circles. This gives us:
* Number of students who study only History = 12 - 3 - 6 = 3
* Number of students who study only Government = 13 - 6 - 3 = 4
* Number of students who study only Akan = 15 - 3 - 6 = 6