Problems based on finding the no of arrangement of letters if vowels/consonants are always together in a given word

Problems based on finding the no of arrangement of letters if vowels/consonants are at even/odd position

Problems based on finding the no of arrangement of letters of the given word

The letters of the word LOGARITHM are arranged in all possible ways.The number of arrangements in which the relative positions of the vowels and consonants are not changed

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

Find the probability that in a random arrangement of the letters of the word SOCIAL vowel come together.

How many words can be made by rearranging letters of VOWELS such that all consonants are not together

How many different words casn be formed with five given letters of which three are vowels and two are consonants, no tow vowels being together in any word?

In how many different ways can the letters of the word 'DIRECTOR' be arranged so that the vowels are always together?