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In a certain college at the B.Sc. examination, 3 candidates obtained first class honours in each of following subjects: Physics, Chemistry and Maths, no candidates obtaining honours in more than one subject Number of ways in which 9 scholarships of different value be awarded to the 9 candidates if due regard is to be paid only to the places obtained by candidates in any one subject is

The Venn diagram below shows the number of people who attended seminars on Physics , Chemistry . Maths and Biology . What is the number of people who attended exactly any two seminars ?

There are 175 students in a class, out of which 100 students opt Maths, 70 opt Physics and, 23 opt Physics and Chemisty, 28 opt Chemistry and Maths and 18 opt of all three subjects. Now find each of the following : No. of students who opt why only Maths (ii) No. of students who opt only Physics (iii) No. of students who opt only Chemistry (iv) No. of students who opt Physics and Chemisty but not Maths (v) No. of students who opt Maths and Physics but not Chemistry (vi) No. of students who opt only one subject (viii) No. of students who opt atleast one subject (viii) No. of student who do not opt any subject.

Out of 180 students in a class 7 students failed in all the three subjects viz. Physics, Chemistry, Maths only 144 students pass in only one subject and 21 students pass in only two subjects. How many students passed in atleast two subjects?

Out of 180 students in a class 7 students failed in all the three subjects viz. Physics, Chemistry, Maths only 144 students pass in only one subject and 21 students pass in only two subjects. How many students passed in at most two subjects but atleast in one subject?

In a school, students must take at least one of these subjects: Maths, Physics or Chemistry. In a group of 50 students, 7 take all three subjects. 9 take Physics and Chemistry only, 8 take Maths and Physics only and 5 take Maths and Chemistry only. Of these 50 students, x take Maths only, x take Physics only and x + 3 take Chemistry only. Draw Venn diagram, find x, and hence find the number taking Maths.