How many diferent words can be formed with the letters of the word VICE-CHANCELLOR so that the vowels are together?

How many diferent words can be formed with the letters of the word MATHEMATICS ? In how many of them, vowels are together and consonants are together?

Find the number of different words that can be formed from the letters of the word TRIANGLE so that no vowels are together.

How many words can be formed by arranging the letters of the word 'INDIA', so that the vowels are never together?

The number of different words that can be formed from the letters of the word 'PENCIL', so that no two vowels are together, is

How many different words can be formed using all the letters of the word HONOLULU is no 2alike letters are together