Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B u C)

We are provided with ;

And we need no find . At first Let me tell you that here represents the union of the set B and C.And represents the cardinal no. of the respective set or no. of elements present in the respective set.So let's find the set first

As we know that ;

Where is the Intersection of A and B or the set of common elements of A and B. So now by same concept , now finding the intersection of B and C :-

So , . Now , putting the values in the formula;