These Ten-Year-Series (TYS) worked solutions with video explanations for 2009 A Level H2 Mathematics Paper 2 Question 8 are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2009 A Level H2 Math Paper 2 Question 8
Find the number of ways in which the letters of the word ELEVATED can be arranged if
(i)
there are no restrictions,
(i) there are no restrictions,
(ii)
T and D must not be next to one another,
(ii) T and D must not be next to one another,
(iii)
consonants (L, V, T, D) and vowels (E, A) must alternate,
(iii) consonants (L, V, T, D) and vowels (E, A) must alternate,
(iv)
between any two Es there must be at least $2$ other letters.
(iv) between any two Es there must be at least $2$ other letters.
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