FunctionsGATE Questions
Questions

2
At 23:00 , we say that f(EUF) = f(E) U f(F)
Sir, when you give the example Wives(Indians U Software Engineer) = Wives(Indians) U Wives(Software Engineer) , dont we need to subtract the components where Wives(Indian Software engineer) as this will be repeated

1
@18:43
sir, you have given a counter example with an element 7. wat if 7 has a
different image in C than all the elements in B 
1
At 10:00 2nd gate problem
all n subsets X1, X2, … Xn are of size 3.
So total number of elements in Xj in 3n.
So ans = 3n
is it correct? Summing up the no of elements in all Xj gives nothing but the count of repetitions of all the elements of S 
2
@19:06
Hi Sir,
f : A > B
E and F are subsets of A
Considering following example
A(Domain) = {1,2,3}
B(images) = All subsets of A{{}{1}{2}{3}{1,2}{2,3}{1,3}{1,2,3}}
As mentioned in the question E and F being subsets of A(Domain) – E {{1},{1,3},{2,3}} and F = {{2},{2,3}}If I take the below example instead of Indian and software engineer and if
function is f(i) = i
Then
f(E U F) = f({{1},{1,3},{2,3}} U {{2},{2,3}}) = {{1},{1,3}{2}{2,3}}f(E ∩ F) = f({{1},{1,3},{2,3}} ∩ {{2},{2,3}}) = f({2,3})
f({2,3}) = {2,3} This is same as following :f(E) = f({{1},{1,3},{2,3}}) = {{1},{1,3},{2,3}}
f(F) = f({{2},{2,3}}) = {{2},{2,3}}
f(E) ∩ f(F) = {2,3}.So Can you please help me out where am i going wrong?
Then