Consider the letters of the word 'MATHEMATICS Possible number of words in which no two vowels are together is :

Consider the letters of the word 'MATHEMATICS Possible numbers of words in which no two vowels are together is -

Consider the letters of the word 'MATHEMATICS Possible number of word taking all letters at a time such that in each word both M's are together and both T's are together but both A's are not together is -

Consider the letters of the word 'MATHEMATICS Possible number of words taking all letters at a time such that in each word both M’s are together and boths T’s are together but both A’s are not together is

Consider the letters of the word 'MATHEMATICS' Possible number of words taking all letters at a time such that at least one repeating letter is at odd posi- tion in each word is

Consider the letters of the word 'MATHEMATICS' Possible number of words taking all letters at a time such that least one repeating letter is at odd position in each word is -

The number of arrangements that can be made with the letters of the word 'MATHEMATICS' in which all vowels comes together, is

The number of arrangements that can be made with the letters of the word 'MATHEMATICS' in which all vowels comes together, is

How many different words can be formed by using all the letters of the word MATHEMATICS ? In how many of them, vowels are always together ?

. How many words can be made by using all letters of the word 'MATHEMATICS' in which all vowels are never together?