Find the number of ways in which all 9 letters of the word AUSTRALIA can be arranged in each of the following cases.
All the vowels (A, I, U are vowels) are together.
The letter T is in the central position and each end position is occupied by one of the other consonants (R, S, L).
Donna has 2 necklaces, 8 rings and 4 bracelets, all different. She chooses 4 pieces of jewellery. How many possible selections can she make if she chooses at least 1 necklace and at least 1 bracelet?