How many words can be formed using the letters of the word `HEXAGON` if(i) vowels do not occur together?

How many words can be formed using the letter of the word LAUGHTER if(i) vowels do not occur separately.( ii) consonants do not occur separately?

How many words can be formed using the letters of the word EQUATION so that all the vowels are together.

How many words can be formed with the letters of the word UNIVERSITY, the vowels doesnt remain together?

How many words can be formed with the letters of the word 'GUJRAT', if all vowels are always together?

How many words can be formed with the letters of the word 'GUJRAT', if all vowels are always together?

How many five letter words containing 3 vowels and 2 consonants can be formed using the letters of the word EQUATION so that the two consonants occur together?

How many five letter words containing 3 vowels and 2 consonants can be formed using the letters of the word EQUATION so that the two consonants occur together?

How many words can be formed using all letters of the word, EQUATION, so that i. each leter occurs exactly once? ii. vowels nd consonants occur together?

How many words can be formed with the letters of the word UNIVERSITY, the vowels remaining together?

The number of five-letter words containing 3 vowels and 2 consonants that can be formed using the letters of the word 'EQUATION' so that the two consonants occur together, is