If n(AxB) = 6 and A = {1,3) then n(B) is
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Answered by
83
Answer:
Step-by-step explanation:
n(A×B)=6
n(A)=2
So n(B)=n(A×B)/n(A)=6/2=3.
Answered by
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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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