Determine how many permutations of the eight letters (i, l, o, v, e, y, o, u) begin with you, or end with i, or have the letter e in the fifth position and the letter y in the sixth position.
Though it's very easy question, I need to double check the solution.
i) you_ _ _ _ _ = 5!
ii) _ _ _ _ _ _ _ i = 7!/2!
iii) _ _ _ _ e y _ _ = 6!/2!
Removing the duplicates:
ii) you _ _ _ _i = 4!
iii) _ _ _ _ e y _ i = 5!/2!
So, total number of permutations = 5! + 7!/2! + 6!/2! - 4! - 5!/2!
Please correct me if I am wrong.