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:

`=14`.

Promotional Banner

Promotional Banner

Topper's Solved these Questions

SETS
MODERN PUBLICATION|Exercise Frequently Asked Questions|26 Videos
SETS
MODERN PUBLICATION|Exercise EXERCISE 1 (a) (Short Answer Type Questions)|7 Videos
SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
STATISTICS
MODERN PUBLICATION|Exercise Chapter Test|7 Videos

MODERN PUBLICATION-SETS -CHAPTER TEST 1

From 50 students taking examinations in mathematics, physics and chemi...
Text Solution
|
The set of girls in a boys school is :
Text Solution
|
If x={1,3,5} , y= {1,2,3,} , then xcap y is :
Text Solution
|
How many elements has P(A), if A =varphi?
Text Solution
|
If A and B are two sets such that AsubB , then what is AuuB?
Text Solution
|
If X and Y are two sets such that n(X) = 17, n(Y) = 23and n (Xuu Y ) ...
Text Solution
|
Prove that A sube B, Bsube C and C sube A => A=C.
Text Solution
|
Prove that (AuuB)-(AcapB)=(A-B)uu(B-A).
Text Solution
|
Show that A nn B=A nn C need not imply B=C
Text Solution
|
Prove that A^(c)-B^(c)=B-A.
Text Solution
|
In a committee, 50 people speak French, 20 speak Spanish and 10 spe...
Text Solution
|
Prove that : (i) (AuuBuuC)^(c)=A^(c)capB^(c)capC^(c) (ii) (AcapBc...
Text Solution
|
In a survey of 60 people, it was found that 2 5 people read newspape...
Text Solution
|