Find the number of ways in which the eleven letters of the word ARRANGEMENT can be arranged if there

Question

Find the number of ways in which the eleven letters of the word ARRANGEMENT can be arranged if there are no restrictions,[1] either the letter A is in the first position or the letter T is in the last position but not both,[3] between any two vowels there is exactly one consonant.[3]

Accepted Answer

(i) $2\,494\,800$ (ii) $589\,680$ (iii) $37\,800$

2013 HCI P2 Q8

2013 HCI P2 Q8

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