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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
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Cardinal number of some sets is considered one the most difficult concept.
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16 Questions around this concept.
Solve by difficulty
If and
such that
, then the relation between
and
is.
The number of symmetric matrices of order 3, with all the entries from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, is
Concepts Covered - 1
Cardinal number of some sets
The number of distinct elements in a finite set A is called 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 Number of Elements in the union of set 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 be any finite sets, then Number of Elements in the union of sets A, B & C is given by
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