Find the number of different arrangements of the $9$ letters of the word SUNFLOWER in which there

Question

Find the number of different arrangements of the $9$ letters of the word SUNFLOWER in which there is no restriction,[1] the letters are not in alphabetical order,[1] each of the $3$ vowels (E, O and U) is not adjacent to another vowel.[2] $5$ letters are now selected from the $9$ letters of the word SUNFLOWER at random. Once a letter has been selected, it cannot be selected again. Find the probability that the selection contains more consonants than vowels.[4]

Accepted Answer

(a)(i)362880 (a)(ii)362879 (a)(iii)151200 (b)$\frac{37}{42}$

2024 MI H1 Q9

2024 MI H1 Q9