Question

If A = {1, 2, 3, 4, 5, 6, 7} and B = {5, 6, 7, 8, 9, 10}, then number of elements in (A × B) ∩ (B × A) is

Answer 1

Answer:

Step-by-step explanation:

Given, universal set, U={1,2,3,4,5,6,7}

A={1,2,5,7}

B={3,4,5,6}

(A∪B)  

′

=U−(A∪B)

={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}

=ϕ

A  

′

∩B  

′

=(U−A)n(U−B)

={3,4,6}n{1,2,7}

=ϕ

Hence (A∪B)  

′

=A  

′

∩B  

′

.