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 letters of the word "HEXAGON" be permuted?

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

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 PENCIL be arranged so that N is always next of E.

How many strings are there using the letters of the word INTERMEDIATE, if Q The vowels and consonants are alternative.

In how many ways can the letters of the word ENGLISH be arranged if i. all the letters are used at a time ii. Words start with E and end in H

In how many ways can the letters of the word 'GLOOMY' be arranged so that the two O's should not be together?

Find the number of ways of arranging the letters of the word MATHEMATICS so that the relative position of vowels and consonants A are not changed.