Question

If n(A×B)=15,n(A)=3,then n(B) =?​

Answer 1

no no correct explanation was

n(A)×n(B)=n(A×B)

3×n(B)=15

n(B)=15/3

n(B)=5

Answer 2

The value of n(B) = 5

Given :

n(A × B) = 15 , n(A) = 3

To find :

The value of n(B)

Solution :

Step 1 of 2 :

Define Cartesian product

Let A and B are two sets. Then the Cartesian product of A and B is denoted by A × B and defined as

$\sf{A \times B = \{(x, y) : x \in A \: \: and \: \: y \in B \}}$

Step 2 of 2 :

Find the value of n(B)

Here it is given that n(A × B) = 15 , n(A) = 3

Now we have ,

n(A × B) = n(A) × n(B)

⇒ 15 = 3 × n(B)

⇒ 3 × n(B) = 15

⇒ n(B) = 15/3

⇒ n(B) = 5

Hence value of n(B) = 5

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