A-LevelMathematicsProbability and statisticsMay/June 2018Paper 6 Q610 Marks
(a) Find the number of ways in which all 9 letters of the word AUSTRALIA can be arranged in each of the following cases. (i) All the vowels (A, I, U are vowels) are together. (ii) The letter T is in the central position and each end position is occupied by one of the other consonants (R, S, L). (b) 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?
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