In the group of 100 student 70 studies math's and 10 studies geography only and 15 studies physics. 50 studies both math's and geography and 45 studies both geography and physics and 65 studies physics. Each student studies at least the three subjects. A. Illustrate the information on a vern diagram. B find the number of (i) all the three subjects (ii) math's and physics but not geography (iii) math's only
there is no answer to my question
please I'm waiting
please can I get it 2 minutes?
sorry. You say
15 studies physics
65 studies physics
No telling what else you have mangled.
To illustrate the information in a Venn diagram, follow these steps:
Step 1: Draw three overlapping circles to represent the three subjects: Math, Geography, and Physics.
Step 2: Label the circles accordingly.
Step 3: Begin filling in the information given.
70 students study Math, so place that number in the Math circle.
10 students study Geography only, so place that number in the Geography circle.
15 students study Physics only, so place that number in the Physics circle.
50 students study both Math and Geography, so place that number in the overlapping region between Math and Geography.
45 students study both Geography and Physics, so place that number in the overlapping region between Geography and Physics.
65 students study Physics, so place that number in the overlapping region between Math and Physics.
Now, let's proceed to finding the answers to the questions:
(i) Number of students studying all three subjects:
To find this number, we need to locate the overlapping region of all three circles. From the Venn diagram, we see that there is no specific information given about the number of students studying all three subjects. Therefore, we cannot determine this value.
(ii) Number of students studying Math and Physics but not Geography:
To find this number, we need to look at the overlapping region between Math and Physics but excluding the intersection with Geography. From the Venn diagram, the 15 students who study Physics only are also studying Math, which means they are studying both Math and Physics but not Geography.
Therefore, the number of students studying Math and Physics but not Geography is 15.
(iii) Number of students studying Math only:
To find this number, we need to look at the Math circle and exclude all overlapping regions. From the Venn diagram, we see that the Math circle contains 70 students in total. We need to subtract the students who are also studying Geography or Physics.
From the Math and Geography intersection (50 students) and the Math and Physics intersection (65 students), we need to subtract the students who study both Math, Geography, and Physics. However, since there is no specific information given about this overlap, we cannot determine this value.
Therefore, the number of students studying Math only is unknown, as we cannot determine the overlapping number with Geography and Physics.