In how many rearrangements of the word AMAZED, is the letter ‘E’ positioned in between the 2 ‘A’s (Not necessarily flanked)?

In how many different ways can the letters of the word “AUCTION” be arranged in such a way that the vowels always come together?

There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P: Q equals.