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Cardinal number of some sets - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Cardinal number of some sets is considered one the most difficult concept.

  • 27 Questions around this concept.

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QuestionEASY

Given n(U)=150,n(A)=60,n(B)=50 and n(A∩B)=0. Find the shaded portion.

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For disjoint sets A \& B,n(AUB)=10 and n(A)=5 then n(B)= ?

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If a class has 50 students, 7 opted for maths and 45 for biology. How many students have opted for both?

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If P and Q are two sets such that P has 21 elements, Q has 32 elements, and P∩Q has 11 elements, then number of elements P∪Q has 

 

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In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then person travelling by car or bus is 

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The set (A ∩ B′)′ ∪ (B ∩ C) is equal to
 

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Concepts Covered - 1

Cardinal number of some sets

The number of distinct elements in a finite set A is called the Cardinal number of set A and it is denoted by n(A).
For example, if set A={1,3,7,11,13} then n(A)=5

Given, any two finite sets A and B, then the Number of Elements in the union of sets A \& B is given by n(A∪B)=n(A)+n(B)−n(A∩B)

If (A∩B)=φ, then n(A∪B)=n(A)+n(B)

Given A, B, and C are any finite sets, then the Number of Elements in the union of sets A, B \& C is given by

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

 

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Cardinal number of some sets

Study other Related Concepts

Cardinal number of some sets Current Topic

Sets, Roster and Set Builder form of Sets
Equal and Equivalent Sets
Subsets, Proper Subset, Improper Subset, Intervals
Finite set, Infinite set, Singleton set
Power set, Universal set
Union of sets, Properties of union
Intersection of Set, Properties of Intersection
Difference of set
Complement of a set, Law of Complement, Property of Complement
Cardinal number of some sets

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