2024 EJC H1 Q6

Find the number of different arrangements of the \(9\) letters of the word AMPLITUDE in which all the vowels are together in alphabetical order.[1]

Find the number of different arrangements of the \(9\) letters of the word AMPLITUDE in which the consonants are not all together.[2]

Find the number of ways in which \(5\)-letter codewords can be formed from the \(9\) letters of the word AMPLITUDE, given that it must include more consonants than vowels.[3]