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2024 TJC P2 Q6

2024 TJC P2 Q6

8 marks
Prelims
  1. The \({11}\) letters of the word REFRESHMENT are arranged in a row.
    1. Find the number of different arrangements that can be made.[2]
    2. Find the number of different arrangements that can be made such that all the E’s are together and all the R’s are together but the E’s and the R’s are not together.[2]
  2. A \({4}\)-letter codeword is formed using the letters in the word REFRESHMENT. Find the number of different codewords that can be formed.[4]

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Answer:(a)(i) \(3\,326\,400\) (a)(ii) \(30\,240\) (b) \(2218\)

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