If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A C) × (B C).

Here, A={1,2,4} ,B={2,4,5} ,C={2,5}


So, A C={1,2,4} {2,5}


={1,4}


Also,B C={2,4,5} {2,5}


={4}


Now, (A B)×(B C)={(x,y):xϵ(A C) and yϵ(B C) }


={(1,4), (4,4)}


1