How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

How many different words, with or without meaning can be formed by using the letters of the word 'HARYANA'? Also, find as to: in how many of these H and N are together?

How many different words (with or without meaning) can be formed using all the letters of word 'WARDEN'? How many of these words being with w and end with N?

How many different words, with or without meaning can be formed by using the letters of the word 'HARYANA'? Also, find as to: how many of these begin with H and end with N?

How many 4-letter words, with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed ?

What is the number of words formed from the letters of the word ‘JOKE’ so that the vowels and consonants alternate ?