Home
Class 12
MATHS
From 50 students taking examinations in ...

From 50 students taking examinations in mathematics, physics and chemistry,37 passed mathematics, 24 physics and 43 chemistry. At most 19 passed mathematics and physics, at most 29 mathematics and chemistry and at most 20 physics and chemistry. Find the largest possible number that could have passed all three exams.

Text Solution

Verified by Experts

The correct Answer is:
`n(PnnCnnM) le 14`
Promotional Banner

Topper's Solved these Questions

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Solved Problems level-I|8 Videos

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Solved Problems Level -II|8 Videos

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

In a class of 55 students the number of students studying subjects are , 23 iin Mathematics 24.in physics 19in chemisty 12 in Mathematics and physics ,9 in Mathematics and chemistry ,7 in physics and chemistry and 4 in all the three subjects. the number of students who have taken ecactly one subject is

Q.N. 45 In a survey of 25 students ,it was found that 15 had taken mathematics , 12 had taken physics and 11 had taken chemistry ,5 had taken mathematics and chemistry, 9 had taken mathematics and physics, 4 had taken physics and chemistry and 3 had taken all the three subjects. write the number of student that had taken (a) at least one of three subjects (b) only mathematics

In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. Find the number of students who have taken exactly one subject.

A class has 175 students, The following description gives the number of students studying one or more of the subjects in this class, Mathematics 100 , physics 70 , chemistry 46 , Mathematics and physics 30 , mathematics and chemistry 28 , physics and chemistry 23 , mathematics, physics and chemistry alone 18 , (i) how many students are enrolled in mathematics alone, physics alone and children alone, (ii) the number of students who have not offered any of these subjects.

Read the following information carefully and answer the questions given below- 1000 students appeared in an examination Out of which 275 students passed in physics, 320 students passed in chemistry and 350 students passed in mathematics. 84 students passed in both chemistry and mathematics 60 students passed in both physics and mathematics, 50 students passed in both physics and chemistry and 34 students passed in all the three subjects. What is the ratio of students passed in physics and mathematics to the number of students passed in physics and chemistry?

In a class,the number of students studying different subjects are 23 in Mathematics,24 in Physics,19 in Chemistry,12 in Mathematics and Physics,9 in Mathematics and Chemistry,7 in Physics and Chemistry and 4 in all the three subjects.The number of students who have taken exactly one subject is