If n(A) = 5, n(B) = 6 and n(A ∩ B) = 3 then n(A × B ∩ B × A) is
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Answer:
Given.
n(A)=5,
n(B)=6,
n(A ∩ B)=3
By formula :
n(A × B ) = n(A)×n(B)
NOW
n(A × B ∩ B × A) = n(A × B × A) [B ∩ B=B]
n(A × B × A) = n(A × B ) [ A × A=A]
n(A × B ) = n(A)×n(B)
= 5*6 = 30. ans
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