Q. 1

# Let A and B be two sets such that n(A) = 5, n(B) = 3 and n(A ∩ B) = 2.

(i) n(A ∪ B)

(ii) n(A × B)

(iii) n(A × B) ∩ (B × A)

Answer :

(i) n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

= 5 + 3 – 2

=6

(ii) n(A × B) = n(A) × n(B)

= 5 × 3

= 15

(iii) n(A × B) ∩ (B × A) = n(A × B) + n(B × A) –

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