2021 NYJC P2 Q7
2021 NYJC P2 Q7
8 marks
Prelims
This question is about the arrangement of the nine letters in the word PINEAPPLE.
- Find the number of ways of arranging all nine letters of the word such that the letters are not in alphabetical order.[2]
Find the number of different ways of arranging all nine letters of the word PINEAPPLE such that no vowel (A,E, I) is next to another vowel.
[2]
It is now given that \(4\) letters are chosen to form another arrangement.
- Find the probability that it consists of at least \(2\) identical letters.[4]
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Answer:(i) \(30\,239\) (ii) \(3\,600\) (iii) \(\frac{133}{313}\)
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