Question

If n(AxB) = 6 and A = {1,3) then n(B) is​

Answer 1

Answer:

Step-by-step explanation:

n(A×B)=6

n(A)=2

So n(B)=n(A×B)/n(A)=6/2=3.

Answer 2

If n(A × B) = 6 and A = { 1 , 3 } then n(B) = 3

Given :

n(A × B) = 6 and A = { 1 , 3 }

To find :

The value of n(B)

Formula :

For two given sets A and B

n(A × B) = n(A) × n(B)

Where n(A) = The number of elements in A

Solution :

Step 1 of 2 :

Find n(A)

Here the given set is A = { 1 , 3 }

Thus we have

n(A)

= The number of elements in A

= 2

Step 2 of 2 :

Find n(B)

We know that

n(A × B) = n(A) × n(B)

⇒ 6 = 2 × n(B)

⇒ 2 × n(B) = 6

⇒ n(B) = 6/2

⇒ n(B) = 3

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