In a class of 32 students 22 offer maths 18 offer chemistry and 16 offer physics 6 offer all three subjects 3 offer physics and chemistry only and 5 offer physics only
Each students offer atleast one subject
Illustrate the information in a venn diagram
To illustrate the given information in a Venn diagram, we need to create three overlapping circles representing the subjects: maths, chemistry, and physics.
First, let's start with a blank Venn diagram:
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| |
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Now, let's fill in the information step by step:
22 students offer maths, so we put 22 inside the circle representing maths:
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| 22 |
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18 students offer chemistry, so we put 18 inside the circle representing chemistry:
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|18|
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16 students offer physics, so we put 16 inside the circle representing physics:
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|16|
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6 students offer all three subjects, so we put 6 in the overlapping region of all three circles:
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| 6 |
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3 students offer physics and chemistry only. Since this number is smaller than the total number of students offering physics, we subtract 3 from the total number of students offering physics (16-3 = 13). We also subtract 3 from the total number of students offering chemistry (18-3=15). Now we can update the Venn diagram:
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|6|
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|3|
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Finally, 5 students offer physics only. Since this number is smaller than the initial total number of students offering physics (16), we subtract 5 from the remaining number (13-5 = 8). Now we can update the Venn diagram one more time:
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|6|
| 3 |
|8|
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Whether there are any students offering maths and physics only is unclear from the given information, so we leave that section blank.
This is the final Venn diagram representing the given information.