2013 NJC P2 Q6 [Modified]

2013 NJC P2 Q6 [Modified]

Prelims

Find the number of ways in which the letters of the word STATISTICS can be arranged if

  1. the \(3\) S’s are all not together,
  2. the consonants (C, S, T) are not all together,
  3. all the vowels (A, I) cannot be next to one another.

How many ways can \(4\) letters be selected from the letters of the word STATISTICS (order in which the letters are selected is not important)?

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Answer:(i) \(23\,520\) (ii) \(48\,720\) (iii) \(23\,520\) Selection: \(34\)

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