How many even integers 'n', where, $100\le n\le200$ are divisible neither by 7 nor by 9?
Show Hint
When asked for numbers "divisible by neither A nor B", first find the total numbers, then subtract the union of sets A and B using the Principle of Inclusion-Exclusion: $n(A \cup B) = n(A) + n(B) - n(A \cap B)$.