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 if vowels/consonants are always together in a given word

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

Determine the number of arrangements of letters of the word ALGORITHM if. (a) vowels are always together. (b) no vowels are together. (c) consonants are at even positions. (d) O is the first and T is the last letter.

Find the number of arrangements of the letters of the word 'ALGEBRA' without altering the relative positions of the vowels and the consonants.

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

Find the number of arrangements of the letters in the word SOLAPUR so that consonents and vowels are placed altenatively.

In how many ways can the letters of the word FAILURE be arranged so that the consonants may occupy only odd positions?

In how many ways can the letters of the word FAILURE be arranged so that the consonants may occupy only odd positions?