in a survey of 200 students,it was found that 120 study mathematics,90 study physics and 70 study chemistry,40 study mathematics and physics, 30 study physics and chemistry,50 study chemistry and mathematics and 20 none of these subjects.Draw a venn diagram to illustrate this information.
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Explanation:
A={x:xis a natural number}={1,2,3,4,5.....}
B={x:x is an even natural number}={2,4,6,8.....}
C={x:x is an odd natural number}={1,3,5,7,9.......}
D={x:xis a prime number}={2,3,5,7....}
(i) A∩B={x:x is a even natural number}=B
(ii) A∩C={x:x is an odd natural number}=C
(iii) A∩D={x:x is a prime number}=D
(iv) B∩C=ϕ
(v) B∩D={2}
(vi) C∩D={x:xis odd prime number}
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