In how many ways can the letters of the word CONSTANT be arranged keeping the two vowels always together ?

In how many ways can the letters of the words STRANGE be arranged so that the vowels may appear in the odd places ?

In how many ways can the letters of the word ASSASSINATION be arranged so that all the S's are together?

In how many ways can the letters of the word CONTACT be arranged (i) without changing the order of the vowels (ii) without changing the relative positions of vowels and consonants (iii) without changing the positions of the vowels ?

Find the number of ways in which the letters of the word DRAUGHT can be arranged so that the vowels are always together .

In how many ways can the letters of the word ASSASSINATION be arranged ? In how many of these arangements the vowles always come together ?

How many words can be made from the letters of the word COSTING so that the vowels are always together

In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S,

In how many different ways can the letters of the word FOOTBALL be arranged so that two O s do not come together?

In how many ways the letters of the word COMBINATORICS can be arranged if all vowel and all consonants are alphabetically ordered.

In how many ways can the letter of the word LOGARITHM be arranged ?how many of these arrangements beign with L? how many begin with L and do not end with M?