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In a class of 50 students, 30 study Basic, 25 study Pascal and 10 study both How many study neither?

In a survey of xavirs's school of Bhubaneswar of 200 students, It was found that 120 study math, 90 study physics, 70 study shemistry, 40 study math and physics, 30 study physics and chemistry, 50 study chemistry and math and 20 study none of these subjects then the number of students study all the subjects is :

Draw the Vennn diagrems to illustrate the following relationship among the sets E,M and U , where E is the set of students studying English in a school , M is the set of students studying Mathematics in the same scholl , U is the set of all students in that school . (i) All the students who study Mathematics study English , but some students who study English do not study Matchematics . (ii) There is not students who studies both Mathematics and English. (iii) Some of the students study Mathematics but do not study English , some study English but do not study Mathematics , and some study both . (iv) Not all students study Matchematics , but every student studyin English studies Mathematics.

In a class, 40% students study mathematics, 25% study biology and 15 % study both mathematics and biology. One student is selected at random. Find the probability that (i) he studies mathematics if it is known that he studies biology (ii) he studies biology if it is known that he studies mathematics.

In a survey of 200 students of a school, 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. Find the number of students who study all the three subjects.