If n(A × B)=200 and n(A)=50, Find the Number of Elements in P(B) If n(A × B)=200 and n(A)=50, Find the Number of Elements in P(B) Question If \[ n(A\times B)=200 \] and \[ n(A)=50, \] then the number of elements in \( P(B) \) is ………………………. Solution We know that: \[ n(A\times B)=n(A)\times n(B) […]
If n(A × B) = 200 and n(A) = 50, then the number of elements in P(B) is ………………………. Read More »
If A = {3, 5, 6, 9} and R = {(x, y) : x + y < 18}, Find R in Roster Form If A = {3, 5, 6, 9} and R = {(x, y) : x + y < 18}, Find R in Roster Form Question If \[ A=\{3,5,6,9\} \] and \( R \)
If n(A ∩ B′)=9, n(A′ ∩ B)=10 and n(A ∪ B)=24, Find n(A × B) If n(A ∩ B′)=9, n(A′ ∩ B)=10 and n(A ∪ B)=24, then n(A × B) Question If \[ n(A\cap B’)=9, \] \[ n(A’\cap B)=10 \] and \[ n(A\cup B)=24, \] then \[ n(A\times B)= \ ? \] Solution We know
If n(A ∩ B′) = 9, n(A′ ∩ B) = 10 and n(A ∪ B) = 24, then n(A × B) = ………………………. Read More »
Find the Range of Relation R = {(x, y) : x ∈ R and −5 ≤ x ≤ 5} If R = {(x, y) : x ∈ R and −5 ≤ x ≤ 5}, then Range (R) = ………………………. Question If \[ R = \{(x,y): x\in \mathbb{R} \text{ and } -5\le x\le 5\} \] is
If R = {(x, y) : where x ∈ R and −5 ≤ x ≤ 5} is a relation, then range (R) = ………………………. Read More »
Find A × (B ∩ C) | Cartesian Product of Sets If A = {x : x ∈ W, x < 2}, B = {x : x ∈ N, 1 < x < 5} and C = {3,5}, then A × (B ∩ C) Question If \[ A = \{x : x \in W,\ x
The Relation R = {(x, y) : x² + y² = 64} is Finite or Infinite The Relation R = {(x, y) : x, y ∈ Z, x² + y² = 64} is ………………………. Question The relation \[ R = \{(x,y): x,y\in Z,\ x^2+y^2=64\} \] is ………………………. Solution We are given: \[ x^2+y^2=64 \] where
The relation R = {(x, y) : x, y ∈ Z, x² + y² = 64} is ………………………. Read More »
Find Domain and Range of Relation R = {(x, y) : x² + y² = 25} If R = {(x, y) : x, y ∈ Z, x² + y² = 25}, Find Domain and Range Question If \[ R = \{(x,y): x,y\in Z,\ x^2+y^2=25\} \] then Domain \( (R) \) = ……………. and Range \(
If R = {(x, y) : x, y ∈ Z, x² + y² = 25}, then Domain (R) = ……………. and Range (R) = ………… Read More »
Total Number of Reflexive Relations on a Finite Set Having n Elements The Total Number of Reflexive Relations on a Finite Set Having n Elements is Question The total number of reflexive relations on a finite set having \( n \) elements is ………………………. Solution Let a finite set \( A \) have \( n
The total number of reflexive relations on a finite set having n elements is ………………………. Read More »
If (1,3), (2,5) and (3,3) are Elements of A × B and n(A × B)=6 If (1, 3), (2, 5) and (3, 3) are Three Elements of A × B and n(A × B)=6, Find the Remaining Elements Question If \( (1,3) \), \( (2,5) \) and \( (3,3) \) are three elements of \(
If R and S are Two Equivalence Relations on a Set A, then R ∩ S is If R and S are Two Equivalence Relations on a Set A, then R ∩ S is ………………………. Question If \( R \) and \( S \) are two equivalence relations on a set \( A \), then
If R and S are two equivalence relations on a set A, then R ∩ S is ………………………. Read More »