Arrangements of letters with restrictions

Arrange letters of a word or set of distinct/identical letters with constraints such as specific letters in specific positions, certain letters together, or letters in alphabetical order.

1 questions · Moderate -0.3

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Pre-U Pre-U 9794/3 2016 June Q5

4 marks Moderate -0.3

The letters of the word 'SEPARATE' are to be rearranged. Find the probability that, in a randomly chosen rearrangement, the two letters 'A' are not next to each other. [4]