If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)
A
{a,b,c,d}
B
{a,b,c,d,e}
C
{a,b,c,d,e,f}
D
{a,b,c}
E
Φ
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
A = {a, b, c}; B = {a, b, c, d, e}; C = {a, b, c, d, e, f}
(A \(\cup\) B) = {a, b, c, d, e}
(A \(\cup\) C) = {a, b, c, d, e, f}
(A \(\cup\) B) \(\cap\) (A \(\cup\) C) = {a, b, c, d, e}
Source: Myschool Past Questions Archive (Record #22398)