Question
In a class of 32students,18 offer chemistry, 16 offer physics and 22 offer mathematics, 6 offer all three subjects ,3 offer. Chemistry and physics only, and 5 offer physics only, each students offers at least one subject. Find the no. of students who offer. 1Chemistry only . 2.only one subject. 3. Only two subject
Chemistry
Chemistry
Answers
Use a Venn diagram.
Start with the innermost data of 6 taking all 3 subjects.
Fill in the given intersections. The only one not given is the intersection of
Math and Chemistry only. Label that x.
Now you can fill in the Math-only as 22 - x - 11
and the Chemistry-only as 18 - x - 9
your Chemistry-only should have been 2 from the given data.
Now add up all the components:
22-x-11 + x + 6 + 5 + 2 + 18-x-9 = 32
x = 4
Now you know each component of your Venn, ....
Start with the innermost data of 6 taking all 3 subjects.
Fill in the given intersections. The only one not given is the intersection of
Math and Chemistry only. Label that x.
Now you can fill in the Math-only as 22 - x - 11
and the Chemistry-only as 18 - x - 9
your Chemistry-only should have been 2 from the given data.
Now add up all the components:
22-x-11 + x + 6 + 5 + 2 + 18-x-9 = 32
x = 4
Now you know each component of your Venn, ....
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A class at a college has 30 students and of these, 18 study business mathematics and 20 students study Micro-economics. Find the percentage of students who study business mathematics only?
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