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In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Let A and B be two finite disjoint sets such that n(A ∪ B) = 475 and n(A) = 435, then n(B) is
If n(A) + n(B) + n(C) = n(A U B U C) then what are the sets A, B, C are called?
If in class XI of a certain school, 24 students got distinction in mathematics, 19 students got distinction in physics and 15 students got distinction in both the subjects, then the number of students in class XI is:
There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can drive scooter and 60 can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only?(Respectively)
If P and Q are two sets such that n(P) = 120, n(Q) = 50 and n(P ∪ Q) = 140 then, n(P ∩ Q) is:
If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets A × B and B × A are
If U = 100, n(A) = 30, n(B) = 40, n(A ∩ B) = 10, then n( A' ∩ B' ) =
The number of nonempty subsets of the set {1, 2, 3, 4} is
A group of 120 students, 90 take mathematics and 72 take economics. If 10 students take neither of the two, how many students take both:
In a class of 50 students, 35 students play cricket and 30 students play football; identify the students playing both the games.
In a class of 40 students 14 take physics and 29 take chemistry. If 5 students take both, how many students take neither of the subjects?
A,B,C are three sets such that n(A) = 25, n(B) = 20, n(c) = 27, n(A ∩ B) = 5, n(B ∩ C ) = 7 and A ∩ C = ∅ then n(A ∪ B ∪ C) is equal to
In a factory 70% of the workers like oranges and 64% like apples. If x% like both oranges and apples, then
85 videos243 docs99 tests

NCERT Exemplar: Sets 1 Doc  12 pages 
Test: Sets Test  25 ques 
Sets & their Representation Video  03:14 min 
NCERT Exemplar: Sets 2 Doc  10 pages 
Fun Video: Complement of a Set Video  07:35 min 
85 videos243 docs99 tests

NCERT Exemplar: Sets 1 Doc  12 pages 
Test: Sets Test  25 ques 
Sets & their Representation Video  03:14 min 
NCERT Exemplar: Sets 2 Doc  10 pages 
Fun Video: Complement of a Set Video  07:35 min 