Question

A={1,2,3,4,5} and B={ 1, 4,5,6,7 }, C={1,2,6,7,8} find n((B⋂C)×(C-B)×(A-C)×(AUBUC))

Answer 1

Answer:

B∩C={4} A x (B∩C) = (1,4), (2, 4), (3,4)} (ii) A x B = {(1, 3), (1,4), (2, 3), (2, 4), (3, 3), (3, 4)} A x C = {(1, 4), (1, 5) (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)} (A x B)∩(A x C)= {(1, 4), (2, 4), (3, 4)} (iii) B ∪ C={3,4, 5, 6} ∴ A x (B ∪ C) = {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6)} (iv) A x B = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)} A x C = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)} (A x B)∪(A x C) = {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6) (3, 3), (3, 4), (3, 5), (3,6)}.Read more on Sarthaks.com - https://www.sarthaks.com/583712/let-a-1-2-3-b-3-4-and-c-4-5-6-find-i-a-x-b-c-ii-a-x-b-a-x-c