2021 NYJC P2 Q7
This question is about the arrangement of the nine letters in the word PINEAPPLE.
(i)
Find the number of ways of arranging all nine letters of the word such that the letters are not in alphabetical order.
[2]
(ii)
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.
(iii)
Find the probability that it consists of at least $2$ identical letters.
[4]
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