2018 NYJC P2 Q5

2018 NYJC P2 Q5

6 marks

Prelims

This question is about arrangements of all ten letters in the word EXCELLENCE.

Find the number of arrangements in which the letters are not in alphabetical order.[2]

The letters are now arranged in a circle.

Find the number of arrangements that can be made with all E’s together and no other adjacent letters the same.[4]

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Answer:(i) \(37799\); (ii) \(84\)

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