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
Correct Answer: Option B
Explanation
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}